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Finding the Fourth Proportional to 179.50, 247.63 and 117.42

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Solution

The fourth proportional to 179.50, 247.63 and 117.42 is: 161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.50 : 247.63 = 117.42 : x
  2. Step 2: Convert to fraction form
    179.50/247.63 = 117.42/x
  3. Step 3: Cross multiply
    179.50x = 247.63 × 117.42
  4. Step 4: Simplify right side
    179.50x = 29,076.71
  5. Step 5: Solve for x
    x = 29,076.71/179.50
  6. Step 6: Final answer
    x = 161.99

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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.