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Finding the Fourth Proportional to 285.91, 428.24 and 177.57

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Solution

The fourth proportional to 285.91, 428.24 and 177.57 is: 265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.91 : 428.24 = 177.57 : x
  2. Step 2: Convert to fraction form
    285.91/428.24 = 177.57/x
  3. Step 3: Cross multiply
    285.91x = 428.24 × 177.57
  4. Step 4: Simplify right side
    285.91x = 76,043.02
  5. Step 5: Solve for x
    x = 76,043.02/285.91
  6. Step 6: Final answer
    x = 265.97

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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.