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Finding the Fourth Proportional to 182.61, 252.08 and 117.20

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Solution

The fourth proportional to 182.61, 252.08 and 117.20 is: 161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.61 : 252.08 = 117.20 : x
  2. Step 2: Convert to fraction form
    182.61/252.08 = 117.20/x
  3. Step 3: Cross multiply
    182.61x = 252.08 × 117.20
  4. Step 4: Simplify right side
    182.61x = 29,544.26
  5. Step 5: Solve for x
    x = 29,544.26/182.61
  6. Step 6: Final answer
    x = 161.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.