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Finding the Fourth Proportional to 209.19, 313.40 and 117.61

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Solution

The fourth proportional to 209.19, 313.40 and 117.61 is: 176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.19 : 313.40 = 117.61 : x
  2. Step 2: Convert to fraction form
    209.19/313.40 = 117.61/x
  3. Step 3: Cross multiply
    209.19x = 313.40 × 117.61
  4. Step 4: Simplify right side
    209.19x = 36,858.97
  5. Step 5: Solve for x
    x = 36,858.97/209.19
  6. Step 6: Final answer
    x = 176.20

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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.