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Finding the Fourth Proportional to 285.71, 428.28 and 123.17

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Solution

The fourth proportional to 285.71, 428.28 and 123.17 is: 184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.71 : 428.28 = 123.17 : x
  2. Step 2: Convert to fraction form
    285.71/428.28 = 123.17/x
  3. Step 3: Cross multiply
    285.71x = 428.28 × 123.17
  4. Step 4: Simplify right side
    285.71x = 52,749.11
  5. Step 5: Solve for x
    x = 52,749.11/285.71
  6. Step 6: Final answer
    x = 184.63

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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.