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Finding the Fourth Proportional to 209.08, 313.48 and 117.84

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Solution

The fourth proportional to 209.08, 313.48 and 117.84 is: 176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.08 : 313.48 = 117.84 : x
  2. Step 2: Convert to fraction form
    209.08/313.48 = 117.84/x
  3. Step 3: Cross multiply
    209.08x = 313.48 × 117.84
  4. Step 4: Simplify right side
    209.08x = 36,940.48
  5. Step 5: Solve for x
    x = 36,940.48/209.08
  6. Step 6: Final answer
    x = 176.68

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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.