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Finding the Fourth Proportional to 179.46, 247.64 and 109.50

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Solution

The fourth proportional to 179.46, 247.64 and 109.50 is: 151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.46 : 247.64 = 109.50 : x
  2. Step 2: Convert to fraction form
    179.46/247.64 = 109.50/x
  3. Step 3: Cross multiply
    179.46x = 247.64 × 109.50
  4. Step 4: Simplify right side
    179.46x = 27,116.58
  5. Step 5: Solve for x
    x = 27,116.58/179.46
  6. Step 6: Final answer
    x = 151.10

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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.