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Finding the Fourth Proportional to 179.24, 247.32 and 101.60

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Solution

The fourth proportional to 179.24, 247.32 and 101.60 is: 140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.24 : 247.32 = 101.60 : x
  2. Step 2: Convert to fraction form
    179.24/247.32 = 101.60/x
  3. Step 3: Cross multiply
    179.24x = 247.32 × 101.60
  4. Step 4: Simplify right side
    179.24x = 25,127.71
  5. Step 5: Solve for x
    x = 25,127.71/179.24
  6. Step 6: Final answer
    x = 140.19

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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.