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Finding the Fourth Proportional to 247.55, 370.98 and 166.55

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Solution

The fourth proportional to 247.55, 370.98 and 166.55 is: 249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.55 : 370.98 = 166.55 : x
  2. Step 2: Convert to fraction form
    247.55/370.98 = 166.55/x
  3. Step 3: Cross multiply
    247.55x = 370.98 × 166.55
  4. Step 4: Simplify right side
    247.55x = 61,784.86
  5. Step 5: Solve for x
    x = 61,784.86/247.55
  6. Step 6: Final answer
    x = 249.59

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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.