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Finding the Fourth Proportional to 179.34, 247.47 and 105.66

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Solution

The fourth proportional to 179.34, 247.47 and 105.66 is: 145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.34 : 247.47 = 105.66 : x
  2. Step 2: Convert to fraction form
    179.34/247.47 = 105.66/x
  3. Step 3: Cross multiply
    179.34x = 247.47 × 105.66
  4. Step 4: Simplify right side
    179.34x = 26,147.68
  5. Step 5: Solve for x
    x = 26,147.68/179.34
  6. Step 6: Final answer
    x = 145.80

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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.