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Finding the Fourth Proportional to 182.28, 251.68 and 147.19

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Solution

The fourth proportional to 182.28, 251.68 and 147.19 is: 203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.28 : 251.68 = 147.19 : x
  2. Step 2: Convert to fraction form
    182.28/251.68 = 147.19/x
  3. Step 3: Cross multiply
    182.28x = 251.68 × 147.19
  4. Step 4: Simplify right side
    182.28x = 37,044.78
  5. Step 5: Solve for x
    x = 37,044.78/182.28
  6. Step 6: Final answer
    x = 203.23

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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.