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Finding the Fourth Proportional to 261.14, 391.02 and 139.46

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Solution

The fourth proportional to 261.14, 391.02 and 139.46 is: 208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.14 : 391.02 = 139.46 : x
  2. Step 2: Convert to fraction form
    261.14/391.02 = 139.46/x
  3. Step 3: Cross multiply
    261.14x = 391.02 × 139.46
  4. Step 4: Simplify right side
    261.14x = 54,531.65
  5. Step 5: Solve for x
    x = 54,531.65/261.14
  6. Step 6: Final answer
    x = 208.82

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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.