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Finding the Fourth Proportional to 237.53, 327.95 and 182.17

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Solution

The fourth proportional to 237.53, 327.95 and 182.17 is: 251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.53 : 327.95 = 182.17 : x
  2. Step 2: Convert to fraction form
    237.53/327.95 = 182.17/x
  3. Step 3: Cross multiply
    237.53x = 327.95 × 182.17
  4. Step 4: Simplify right side
    237.53x = 59,740.10
  5. Step 5: Solve for x
    x = 59,740.10/237.53
  6. Step 6: Final answer
    x = 251.50

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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.