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Finding the Fourth Proportional to 224.52, 309.80 and 146.92

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Solution

The fourth proportional to 224.52, 309.80 and 146.92 is: 202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.52 : 309.80 = 146.92 : x
  2. Step 2: Convert to fraction form
    224.52/309.80 = 146.92/x
  3. Step 3: Cross multiply
    224.52x = 309.80 × 146.92
  4. Step 4: Simplify right side
    224.52x = 45,515.82
  5. Step 5: Solve for x
    x = 45,515.82/224.52
  6. Step 6: Final answer
    x = 202.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.