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Finding the Fourth Proportional to 261.96, 392.87 and 97.44

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Solution

The fourth proportional to 261.96, 392.87 and 97.44 is: 146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.96 : 392.87 = 97.44 : x
  2. Step 2: Convert to fraction form
    261.96/392.87 = 97.44/x
  3. Step 3: Cross multiply
    261.96x = 392.87 × 97.44
  4. Step 4: Simplify right side
    261.96x = 38,280.77
  5. Step 5: Solve for x
    x = 38,280.77/261.96
  6. Step 6: Final answer
    x = 146.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.