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Finding the Fourth Proportional to 668.42, 1,002.62 and 181.47

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Solution

The fourth proportional to 668.42, 1,002.62 and 181.47 is: 272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.42 : 1,002.62 = 181.47 : x
  2. Step 2: Convert to fraction form
    668.42/1,002.62 = 181.47/x
  3. Step 3: Cross multiply
    668.42x = 1,002.62 × 181.47
  4. Step 4: Simplify right side
    668.42x = 181,942.15
  5. Step 5: Solve for x
    x = 181,942.15/668.42
  6. Step 6: Final answer
    x = 272.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.