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Finding the Fourth Proportional to 261.38, 392.02 and 99.02

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Solution

The fourth proportional to 261.38, 392.02 and 99.02 is: 148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.38 : 392.02 = 99.02 : x
  2. Step 2: Convert to fraction form
    261.38/392.02 = 99.02/x
  3. Step 3: Cross multiply
    261.38x = 392.02 × 99.02
  4. Step 4: Simplify right side
    261.38x = 38,817.82
  5. Step 5: Solve for x
    x = 38,817.82/261.38
  6. Step 6: Final answer
    x = 148.51

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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.