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Finding the Fourth Proportional to 179.11, 247.10 and 109.14

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Solution

The fourth proportional to 179.11, 247.10 and 109.14 is: 150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.11 : 247.10 = 109.14 : x
  2. Step 2: Convert to fraction form
    179.11/247.10 = 109.14/x
  3. Step 3: Cross multiply
    179.11x = 247.10 × 109.14
  4. Step 4: Simplify right side
    179.11x = 26,967.95
  5. Step 5: Solve for x
    x = 26,967.95/179.11
  6. Step 6: Final answer
    x = 150.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.