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Finding the Fourth Proportional to 285.92, 428.78 and 103.28

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Solution

The fourth proportional to 285.92, 428.78 and 103.28 is: 154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 428.78 = 103.28 : x
  2. Step 2: Convert to fraction form
    285.92/428.78 = 103.28/x
  3. Step 3: Cross multiply
    285.92x = 428.78 × 103.28
  4. Step 4: Simplify right side
    285.92x = 44,284.40
  5. Step 5: Solve for x
    x = 44,284.40/285.92
  6. Step 6: Final answer
    x = 154.88

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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.