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Finding the Fourth Proportional to 364.07, 546.14 and 181.42

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Solution

The fourth proportional to 364.07, 546.14 and 181.42 is: 272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.07 : 546.14 = 181.42 : x
  2. Step 2: Convert to fraction form
    364.07/546.14 = 181.42/x
  3. Step 3: Cross multiply
    364.07x = 546.14 × 181.42
  4. Step 4: Simplify right side
    364.07x = 99,079.81
  5. Step 5: Solve for x
    x = 99,079.81/364.07
  6. Step 6: Final answer
    x = 272.14

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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.