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Finding the Fourth Proportional to 261.02, 391.57 and 96.47

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Solution

The fourth proportional to 261.02, 391.57 and 96.47 is: 144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.02 : 391.57 = 96.47 : x
  2. Step 2: Convert to fraction form
    261.02/391.57 = 96.47/x
  3. Step 3: Cross multiply
    261.02x = 391.57 × 96.47
  4. Step 4: Simplify right side
    261.02x = 37,772.56
  5. Step 5: Solve for x
    x = 37,772.56/261.02
  6. Step 6: Final answer
    x = 144.71

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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.