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Finding the Fourth Proportional to 208.16, 310.80 and 179.24

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Solution

The fourth proportional to 208.16, 310.80 and 179.24 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.16 : 310.80 = 179.24 : x
  2. Step 2: Convert to fraction form
    208.16/310.80 = 179.24/x
  3. Step 3: Cross multiply
    208.16x = 310.80 × 179.24
  4. Step 4: Simplify right side
    208.16x = 55,707.79
  5. Step 5: Solve for x
    x = 55,707.79/208.16
  6. Step 6: Final answer
    x = 267.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.