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Finding the Fourth Proportional to 182.14, 250.86 and 147.11

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Solution

The fourth proportional to 182.14, 250.86 and 147.11 is: 202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.14 : 250.86 = 147.11 : x
  2. Step 2: Convert to fraction form
    182.14/250.86 = 147.11/x
  3. Step 3: Cross multiply
    182.14x = 250.86 × 147.11
  4. Step 4: Simplify right side
    182.14x = 36,903.31
  5. Step 5: Solve for x
    x = 36,903.31/182.14
  6. Step 6: Final answer
    x = 202.61

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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.