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Finding the Fourth Proportional to 288.54, 398.18 and 177.96

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Solution

The fourth proportional to 288.54, 398.18 and 177.96 is: 245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.54 : 398.18 = 177.96 : x
  2. Step 2: Convert to fraction form
    288.54/398.18 = 177.96/x
  3. Step 3: Cross multiply
    288.54x = 398.18 × 177.96
  4. Step 4: Simplify right side
    288.54x = 70,860.11
  5. Step 5: Solve for x
    x = 70,860.11/288.54
  6. Step 6: Final answer
    x = 245.58

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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.