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Finding the Fourth Proportional to 247.79, 372.25 and 174.83

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Solution

The fourth proportional to 247.79, 372.25 and 174.83 is: 262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.79 : 372.25 = 174.83 : x
  2. Step 2: Convert to fraction form
    247.79/372.25 = 174.83/x
  3. Step 3: Cross multiply
    247.79x = 372.25 × 174.83
  4. Step 4: Simplify right side
    247.79x = 65,080.47
  5. Step 5: Solve for x
    x = 65,080.47/247.79
  6. Step 6: Final answer
    x = 262.65

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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.