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Finding the Fourth Proportional to 182.56, 252.02 and 117.16

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Solution

The fourth proportional to 182.56, 252.02 and 117.16 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.56 : 252.02 = 117.16 : x
  2. Step 2: Convert to fraction form
    182.56/252.02 = 117.16/x
  3. Step 3: Cross multiply
    182.56x = 252.02 × 117.16
  4. Step 4: Simplify right side
    182.56x = 29,526.66
  5. Step 5: Solve for x
    x = 29,526.66/182.56
  6. Step 6: Final answer
    x = 161.74

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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.