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Finding the Fourth Proportional to 261.48, 392.30 and 151.86

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Solution

The fourth proportional to 261.48, 392.30 and 151.86 is: 227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.48 : 392.30 = 151.86 : x
  2. Step 2: Convert to fraction form
    261.48/392.30 = 151.86/x
  3. Step 3: Cross multiply
    261.48x = 392.30 × 151.86
  4. Step 4: Simplify right side
    261.48x = 59,573.92
  5. Step 5: Solve for x
    x = 59,573.92/261.48
  6. Step 6: Final answer
    x = 227.83

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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.