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Finding the Fourth Proportional to 237.68, 327.88 and 206.53

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Solution

The fourth proportional to 237.68, 327.88 and 206.53 is: 284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.68 : 327.88 = 206.53 : x
  2. Step 2: Convert to fraction form
    237.68/327.88 = 206.53/x
  3. Step 3: Cross multiply
    237.68x = 327.88 × 206.53
  4. Step 4: Simplify right side
    237.68x = 67,715.72
  5. Step 5: Solve for x
    x = 67,715.72/237.68
  6. Step 6: Final answer
    x = 284.90

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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.