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Finding the Fourth Proportional to 261.55, 391.98 and 107.29

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Solution

The fourth proportional to 261.55, 391.98 and 107.29 is: 160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.55 : 391.98 = 107.29 : x
  2. Step 2: Convert to fraction form
    261.55/391.98 = 107.29/x
  3. Step 3: Cross multiply
    261.55x = 391.98 × 107.29
  4. Step 4: Simplify right side
    261.55x = 42,055.53
  5. Step 5: Solve for x
    x = 42,055.53/261.55
  6. Step 6: Final answer
    x = 160.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.