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Finding the Fourth Proportional to 182.46, 251.52 and 147.18

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Solution

The fourth proportional to 182.46, 251.52 and 147.18 is: 202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.46 : 251.52 = 147.18 : x
  2. Step 2: Convert to fraction form
    182.46/251.52 = 147.18/x
  3. Step 3: Cross multiply
    182.46x = 251.52 × 147.18
  4. Step 4: Simplify right side
    182.46x = 37,018.71
  5. Step 5: Solve for x
    x = 37,018.71/182.46
  6. Step 6: Final answer
    x = 202.89

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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.