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Finding the Fourth Proportional to 261.82, 392.62 and 97.24

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Solution

The fourth proportional to 261.82, 392.62 and 97.24 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.82 : 392.62 = 97.24 : x
  2. Step 2: Convert to fraction form
    261.82/392.62 = 97.24/x
  3. Step 3: Cross multiply
    261.82x = 392.62 × 97.24
  4. Step 4: Simplify right side
    261.82x = 38,178.37
  5. Step 5: Solve for x
    x = 38,178.37/261.82
  6. Step 6: Final answer
    x = 145.82

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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.