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Finding the Fourth Proportional to 179.49, 247.76 and 133.02

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Solution

The fourth proportional to 179.49, 247.76 and 133.02 is: 183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.49 : 247.76 = 133.02 : x
  2. Step 2: Convert to fraction form
    179.49/247.76 = 133.02/x
  3. Step 3: Cross multiply
    179.49x = 247.76 × 133.02
  4. Step 4: Simplify right side
    179.49x = 32,957.04
  5. Step 5: Solve for x
    x = 32,957.04/179.49
  6. Step 6: Final answer
    x = 183.61

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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.