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Finding the Fourth Proportional to 261.47, 392 and 124.68

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Solution

The fourth proportional to 261.47, 392 and 124.68 is: 186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.47 : 392 = 124.68 : x
  2. Step 2: Convert to fraction form
    261.47/392 = 124.68/x
  3. Step 3: Cross multiply
    261.47x = 392 × 124.68
  4. Step 4: Simplify right side
    261.47x = 48,874.56
  5. Step 5: Solve for x
    x = 48,874.56/261.47
  6. Step 6: Final answer
    x = 186.92

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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.