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Finding the Fourth Proportional to 224.89, 310.50 and 147.40

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Solution

The fourth proportional to 224.89, 310.50 and 147.40 is: 203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.89 : 310.50 = 147.40 : x
  2. Step 2: Convert to fraction form
    224.89/310.50 = 147.40/x
  3. Step 3: Cross multiply
    224.89x = 310.50 × 147.40
  4. Step 4: Simplify right side
    224.89x = 45,767.70
  5. Step 5: Solve for x
    x = 45,767.70/224.89
  6. Step 6: Final answer
    x = 203.51

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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.