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Finding the Fourth Proportional to 237.64, 356.47 and 218.61

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Solution

The fourth proportional to 237.64, 356.47 and 218.61 is: 327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.64 : 356.47 = 218.61 : x
  2. Step 2: Convert to fraction form
    237.64/356.47 = 218.61/x
  3. Step 3: Cross multiply
    237.64x = 356.47 × 218.61
  4. Step 4: Simplify right side
    237.64x = 77,927.91
  5. Step 5: Solve for x
    x = 77,927.91/237.64
  6. Step 6: Final answer
    x = 327.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.