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Finding the Fourth Proportional to 208.80, 313.24 and 117.42

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Solution

The fourth proportional to 208.80, 313.24 and 117.42 is: 176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.80 : 313.24 = 117.42 : x
  2. Step 2: Convert to fraction form
    208.80/313.24 = 117.42/x
  3. Step 3: Cross multiply
    208.80x = 313.24 × 117.42
  4. Step 4: Simplify right side
    208.80x = 36,780.64
  5. Step 5: Solve for x
    x = 36,780.64/208.80
  6. Step 6: Final answer
    x = 176.15

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Why These Related Problems?

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