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Finding the Fourth Proportional to 237.64, 355.92 and 213.34

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Solution

The fourth proportional to 237.64, 355.92 and 213.34 is: 319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.64 : 355.92 = 213.34 : x
  2. Step 2: Convert to fraction form
    237.64/355.92 = 213.34/x
  3. Step 3: Cross multiply
    237.64x = 355.92 × 213.34
  4. Step 4: Simplify right side
    237.64x = 75,931.97
  5. Step 5: Solve for x
    x = 75,931.97/237.64
  6. Step 6: Final answer
    x = 319.53

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Why These Related Problems?

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