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Finding the Fourth Proportional to 179.16, 247.28 and 105.50

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Solution

The fourth proportional to 179.16, 247.28 and 105.50 is: 145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.16 : 247.28 = 105.50 : x
  2. Step 2: Convert to fraction form
    179.16/247.28 = 105.50/x
  3. Step 3: Cross multiply
    179.16x = 247.28 × 105.50
  4. Step 4: Simplify right side
    179.16x = 26,086.28
  5. Step 5: Solve for x
    x = 26,086.28/179.16
  6. Step 6: Final answer
    x = 145.60

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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.