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Finding the Fourth Proportional to 261.16, 391.57 and 124.27

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Solution

The fourth proportional to 261.16, 391.57 and 124.27 is: 186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.16 : 391.57 = 124.27 : x
  2. Step 2: Convert to fraction form
    261.16/391.57 = 124.27/x
  3. Step 3: Cross multiply
    261.16x = 391.57 × 124.27
  4. Step 4: Simplify right side
    261.16x = 48,660.40
  5. Step 5: Solve for x
    x = 48,660.40/261.16
  6. Step 6: Final answer
    x = 186.32

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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.