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Finding the Fourth Proportional to 247.47, 370.95 and 166.12

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Solution

The fourth proportional to 247.47, 370.95 and 166.12 is: 249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.47 : 370.95 = 166.12 : x
  2. Step 2: Convert to fraction form
    247.47/370.95 = 166.12/x
  3. Step 3: Cross multiply
    247.47x = 370.95 × 166.12
  4. Step 4: Simplify right side
    247.47x = 61,622.21
  5. Step 5: Solve for x
    x = 61,622.21/247.47
  6. Step 6: Final answer
    x = 249.01

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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.