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Finding the Fourth Proportional to 224.52, 337.50 and 184.80

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Solution

The fourth proportional to 224.52, 337.50 and 184.80 is: 277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.52 : 337.50 = 184.80 : x
  2. Step 2: Convert to fraction form
    224.52/337.50 = 184.80/x
  3. Step 3: Cross multiply
    224.52x = 337.50 × 184.80
  4. Step 4: Simplify right side
    224.52x = 62,370.00
  5. Step 5: Solve for x
    x = 62,370.00/224.52
  6. Step 6: Final answer
    x = 277.79

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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.