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Finding the Fourth Proportional to 182.78, 252.16 and 147.75

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Solution

The fourth proportional to 182.78, 252.16 and 147.75 is: 203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.78 : 252.16 = 147.75 : x
  2. Step 2: Convert to fraction form
    182.78/252.16 = 147.75/x
  3. Step 3: Cross multiply
    182.78x = 252.16 × 147.75
  4. Step 4: Simplify right side
    182.78x = 37,256.64
  5. Step 5: Solve for x
    x = 37,256.64/182.78
  6. Step 6: Final answer
    x = 203.83

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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.