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Finding the Fourth Proportional to 247.18, 370.32 and 166.10

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Solution

The fourth proportional to 247.18, 370.32 and 166.10 is: 248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.18 : 370.32 = 166.10 : x
  2. Step 2: Convert to fraction form
    247.18/370.32 = 166.10/x
  3. Step 3: Cross multiply
    247.18x = 370.32 × 166.10
  4. Step 4: Simplify right side
    247.18x = 61,510.15
  5. Step 5: Solve for x
    x = 61,510.15/247.18
  6. Step 6: Final answer
    x = 248.85

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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.