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Finding the Fourth Proportional to 208.86, 313.30 and 117.49

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Solution

The fourth proportional to 208.86, 313.30 and 117.49 is: 176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.86 : 313.30 = 117.49 : x
  2. Step 2: Convert to fraction form
    208.86/313.30 = 117.49/x
  3. Step 3: Cross multiply
    208.86x = 313.30 × 117.49
  4. Step 4: Simplify right side
    208.86x = 36,808.05
  5. Step 5: Solve for x
    x = 36,808.05/208.86
  6. Step 6: Final answer
    x = 176.23

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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.