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Finding the Fourth Proportional to 268.13, 401.51 and 237.60

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Solution

The fourth proportional to 268.13, 401.51 and 237.60 is: 355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.13 : 401.51 = 237.60 : x
  2. Step 2: Convert to fraction form
    268.13/401.51 = 237.60/x
  3. Step 3: Cross multiply
    268.13x = 401.51 × 237.60
  4. Step 4: Simplify right side
    268.13x = 95,398.78
  5. Step 5: Solve for x
    x = 95,398.78/268.13
  6. Step 6: Final answer
    x = 355.79

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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.