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Finding the Fourth Proportional to 182.68, 252.01 and 112.78

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Solution

The fourth proportional to 182.68, 252.01 and 112.78 is: 155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.68 : 252.01 = 112.78 : x
  2. Step 2: Convert to fraction form
    182.68/252.01 = 112.78/x
  3. Step 3: Cross multiply
    182.68x = 252.01 × 112.78
  4. Step 4: Simplify right side
    182.68x = 28,421.69
  5. Step 5: Solve for x
    x = 28,421.69/182.68
  6. Step 6: Final answer
    x = 155.58

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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.