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Finding the Fourth Proportional to 179.66, 268.02 and 152.78

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Solution

The fourth proportional to 179.66, 268.02 and 152.78 is: 227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.66 : 268.02 = 152.78 : x
  2. Step 2: Convert to fraction form
    179.66/268.02 = 152.78/x
  3. Step 3: Cross multiply
    179.66x = 268.02 × 152.78
  4. Step 4: Simplify right side
    179.66x = 40,947.33
  5. Step 5: Solve for x
    x = 40,947.33/179.66
  6. Step 6: Final answer
    x = 227.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.