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Finding the Fourth Proportional to 182.71, 252.03 and 117.24

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Solution

The fourth proportional to 182.71, 252.03 and 117.24 is: 161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.71 : 252.03 = 117.24 : x
  2. Step 2: Convert to fraction form
    182.71/252.03 = 117.24/x
  3. Step 3: Cross multiply
    182.71x = 252.03 × 117.24
  4. Step 4: Simplify right side
    182.71x = 29,547.41
  5. Step 5: Solve for x
    x = 29,547.41/182.71
  6. Step 6: Final answer
    x = 161.72

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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.