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Finding the Fourth Proportional to 261.76, 360.48 and 229.12

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Solution

The fourth proportional to 261.76, 360.48 and 229.12 is: 315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.76 : 360.48 = 229.12 : x
  2. Step 2: Convert to fraction form
    261.76/360.48 = 229.12/x
  3. Step 3: Cross multiply
    261.76x = 360.48 × 229.12
  4. Step 4: Simplify right side
    261.76x = 82,593.18
  5. Step 5: Solve for x
    x = 82,593.18/261.76
  6. Step 6: Final answer
    x = 315.53

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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.