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Finding the Fourth Proportional to 261.18, 391.08 and 139.19

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Solution

The fourth proportional to 261.18, 391.08 and 139.19 is: 208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.18 : 391.08 = 139.19 : x
  2. Step 2: Convert to fraction form
    261.18/391.08 = 139.19/x
  3. Step 3: Cross multiply
    261.18x = 391.08 × 139.19
  4. Step 4: Simplify right side
    261.18x = 54,432.47
  5. Step 5: Solve for x
    x = 54,432.47/261.18
  6. Step 6: Final answer
    x = 208.41

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