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Finding the Fourth Proportional to 261.89, 392.68 and 99.59

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Solution

The fourth proportional to 261.89, 392.68 and 99.59 is: 149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.89 : 392.68 = 99.59 : x
  2. Step 2: Convert to fraction form
    261.89/392.68 = 99.59/x
  3. Step 3: Cross multiply
    261.89x = 392.68 × 99.59
  4. Step 4: Simplify right side
    261.89x = 39,107.00
  5. Step 5: Solve for x
    x = 39,107.00/261.89
  6. Step 6: Final answer
    x = 149.33

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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.