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Finding the Fourth Proportional to 261.24, 391.73 and 96.59

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Solution

The fourth proportional to 261.24, 391.73 and 96.59 is: 144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.24 : 391.73 = 96.59 : x
  2. Step 2: Convert to fraction form
    261.24/391.73 = 96.59/x
  3. Step 3: Cross multiply
    261.24x = 391.73 × 96.59
  4. Step 4: Simplify right side
    261.24x = 37,834.76
  5. Step 5: Solve for x
    x = 37,834.76/261.24
  6. Step 6: Final answer
    x = 144.83

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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.