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Finding the Fourth Proportional to 209.22, 313.56 and 117.60

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Solution

The fourth proportional to 209.22, 313.56 and 117.60 is: 176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.22 : 313.56 = 117.60 : x
  2. Step 2: Convert to fraction form
    209.22/313.56 = 117.60/x
  3. Step 3: Cross multiply
    209.22x = 313.56 × 117.60
  4. Step 4: Simplify right side
    209.22x = 36,874.66
  5. Step 5: Solve for x
    x = 36,874.66/209.22
  6. Step 6: Final answer
    x = 176.25

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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.