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Finding the Fourth Proportional to 285.92, 428.90 and 123.50

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Solution

The fourth proportional to 285.92, 428.90 and 123.50 is: 185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 428.90 = 123.50 : x
  2. Step 2: Convert to fraction form
    285.92/428.90 = 123.50/x
  3. Step 3: Cross multiply
    285.92x = 428.90 × 123.50
  4. Step 4: Simplify right side
    285.92x = 52,966.39
  5. Step 5: Solve for x
    x = 52,966.39/285.92
  6. Step 6: Final answer
    x = 185.25

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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.