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Finding the Fourth Proportional to 288.46, 398.06 and 177.95

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Solution

The fourth proportional to 288.46, 398.06 and 177.95 is: 245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.46 : 398.06 = 177.95 : x
  2. Step 2: Convert to fraction form
    288.46/398.06 = 177.95/x
  3. Step 3: Cross multiply
    288.46x = 398.06 × 177.95
  4. Step 4: Simplify right side
    288.46x = 70,832.79
  5. Step 5: Solve for x
    x = 70,832.79/288.46
  6. Step 6: Final answer
    x = 245.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.