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Finding the Fourth Proportional to 182.69, 252.29 and 117.31

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Solution

The fourth proportional to 182.69, 252.29 and 117.31 is: 162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.69 : 252.29 = 117.31 : x
  2. Step 2: Convert to fraction form
    182.69/252.29 = 117.31/x
  3. Step 3: Cross multiply
    182.69x = 252.29 × 117.31
  4. Step 4: Simplify right side
    182.69x = 29,595.87
  5. Step 5: Solve for x
    x = 29,595.87/182.69
  6. Step 6: Final answer
    x = 162.00

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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.