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Finding the Fourth Proportional to 179.74, 247.98 and 109.83

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Solution

The fourth proportional to 179.74, 247.98 and 109.83 is: 151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.74 : 247.98 = 109.83 : x
  2. Step 2: Convert to fraction form
    179.74/247.98 = 109.83/x
  3. Step 3: Cross multiply
    179.74x = 247.98 × 109.83
  4. Step 4: Simplify right side
    179.74x = 27,235.64
  5. Step 5: Solve for x
    x = 27,235.64/179.74
  6. Step 6: Final answer
    x = 151.53

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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.