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Finding the Fourth Proportional to 209.30, 313.38 and 117.86

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Solution

The fourth proportional to 209.30, 313.38 and 117.86 is: 176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.30 : 313.38 = 117.86 : x
  2. Step 2: Convert to fraction form
    209.30/313.38 = 117.86/x
  3. Step 3: Cross multiply
    209.30x = 313.38 × 117.86
  4. Step 4: Simplify right side
    209.30x = 36,933.40
  5. Step 5: Solve for x
    x = 36,933.40/209.30
  6. Step 6: Final answer
    x = 176.47

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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.