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Finding the Fourth Proportional to 306.96, 460.86 and 177.12

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Solution

The fourth proportional to 306.96, 460.86 and 177.12 is: 265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.96 : 460.86 = 177.12 : x
  2. Step 2: Convert to fraction form
    306.96/460.86 = 177.12/x
  3. Step 3: Cross multiply
    306.96x = 460.86 × 177.12
  4. Step 4: Simplify right side
    306.96x = 81,627.52
  5. Step 5: Solve for x
    x = 81,627.52/306.96
  6. Step 6: Final answer
    x = 265.92

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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.