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Finding the Fourth Proportional to 288.55, 398.07 and 177.95

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Solution

The fourth proportional to 288.55, 398.07 and 177.95 is: 245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.55 : 398.07 = 177.95 : x
  2. Step 2: Convert to fraction form
    288.55/398.07 = 177.95/x
  3. Step 3: Cross multiply
    288.55x = 398.07 × 177.95
  4. Step 4: Simplify right side
    288.55x = 70,836.56
  5. Step 5: Solve for x
    x = 70,836.56/288.55
  6. Step 6: Final answer
    x = 245.50

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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.