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Finding the Fourth Proportional to 288.61, 398.24 and 178.13

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Solution

The fourth proportional to 288.61, 398.24 and 178.13 is: 245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.61 : 398.24 = 178.13 : x
  2. Step 2: Convert to fraction form
    288.61/398.24 = 178.13/x
  3. Step 3: Cross multiply
    288.61x = 398.24 × 178.13
  4. Step 4: Simplify right side
    288.61x = 70,938.49
  5. Step 5: Solve for x
    x = 70,938.49/288.61
  6. Step 6: Final answer
    x = 245.79

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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.