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Finding the Fourth Proportional to 261.96, 392.97 and 125.01

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Solution

The fourth proportional to 261.96, 392.97 and 125.01 is: 187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.96 : 392.97 = 125.01 : x
  2. Step 2: Convert to fraction form
    261.96/392.97 = 125.01/x
  3. Step 3: Cross multiply
    261.96x = 392.97 × 125.01
  4. Step 4: Simplify right side
    261.96x = 49,125.18
  5. Step 5: Solve for x
    x = 49,125.18/261.96
  6. Step 6: Final answer
    x = 187.53

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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.