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Finding the Fourth Proportional to 209.48, 313.89 and 117.95

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Solution

The fourth proportional to 209.48, 313.89 and 117.95 is: 176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.48 : 313.89 = 117.95 : x
  2. Step 2: Convert to fraction form
    209.48/313.89 = 117.95/x
  3. Step 3: Cross multiply
    209.48x = 313.89 × 117.95
  4. Step 4: Simplify right side
    209.48x = 37,021.76
  5. Step 5: Solve for x
    x = 37,021.76/209.48
  6. Step 6: Final answer
    x = 176.74

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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.