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Finding the Fourth Proportional to 668.03, 1,002.06 and 181.04

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Solution

The fourth proportional to 668.03, 1,002.06 and 181.04 is: 271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.03 : 1,002.06 = 181.04 : x
  2. Step 2: Convert to fraction form
    668.03/1,002.06 = 181.04/x
  3. Step 3: Cross multiply
    668.03x = 1,002.06 × 181.04
  4. Step 4: Simplify right side
    668.03x = 181,407.93
  5. Step 5: Solve for x
    x = 181,407.93/668.03
  6. Step 6: Final answer
    x = 271.56

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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.