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Finding the Fourth Proportional to 288.59, 398.25 and 178.03

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Solution

The fourth proportional to 288.59, 398.25 and 178.03 is: 245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.59 : 398.25 = 178.03 : x
  2. Step 2: Convert to fraction form
    288.59/398.25 = 178.03/x
  3. Step 3: Cross multiply
    288.59x = 398.25 × 178.03
  4. Step 4: Simplify right side
    288.59x = 70,900.95
  5. Step 5: Solve for x
    x = 70,900.95/288.59
  6. Step 6: Final answer
    x = 245.68

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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.