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Finding the Fourth Proportional to 208.68, 313.24 and 176.36

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Solution

The fourth proportional to 208.68, 313.24 and 176.36 is: 264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.68 : 313.24 = 176.36 : x
  2. Step 2: Convert to fraction form
    208.68/313.24 = 176.36/x
  3. Step 3: Cross multiply
    208.68x = 313.24 × 176.36
  4. Step 4: Simplify right side
    208.68x = 55,244.91
  5. Step 5: Solve for x
    x = 55,244.91/208.68
  6. Step 6: Final answer
    x = 264.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.