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Finding the Fourth Proportional to 261.43, 360.86 and 172.94

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Solution

The fourth proportional to 261.43, 360.86 and 172.94 is: 238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.43 : 360.86 = 172.94 : x
  2. Step 2: Convert to fraction form
    261.43/360.86 = 172.94/x
  3. Step 3: Cross multiply
    261.43x = 360.86 × 172.94
  4. Step 4: Simplify right side
    261.43x = 62,404.46
  5. Step 5: Solve for x
    x = 62,404.46/261.43
  6. Step 6: Final answer
    x = 238.71

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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.