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Finding the Fourth Proportional to 261.60, 360.96 and 224.70

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Solution

The fourth proportional to 261.60, 360.96 and 224.70 is: 310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.60 : 360.96 = 224.70 : x
  2. Step 2: Convert to fraction form
    261.60/360.96 = 224.70/x
  3. Step 3: Cross multiply
    261.60x = 360.96 × 224.70
  4. Step 4: Simplify right side
    261.60x = 81,107.71
  5. Step 5: Solve for x
    x = 81,107.71/261.60
  6. Step 6: Final answer
    x = 310.04

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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.