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Finding the Fourth Proportional to 224.83, 336.59 and 147.55

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Solution

The fourth proportional to 224.83, 336.59 and 147.55 is: 220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.83 : 336.59 = 147.55 : x
  2. Step 2: Convert to fraction form
    224.83/336.59 = 147.55/x
  3. Step 3: Cross multiply
    224.83x = 336.59 × 147.55
  4. Step 4: Simplify right side
    224.83x = 49,663.85
  5. Step 5: Solve for x
    x = 49,663.85/224.83
  6. Step 6: Final answer
    x = 220.90

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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.