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Finding the Fourth Proportional to 209.40, 313.56 and 113.02

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Solution

The fourth proportional to 209.40, 313.56 and 113.02 is: 169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.40 : 313.56 = 113.02 : x
  2. Step 2: Convert to fraction form
    209.40/313.56 = 113.02/x
  3. Step 3: Cross multiply
    209.40x = 313.56 × 113.02
  4. Step 4: Simplify right side
    209.40x = 35,438.55
  5. Step 5: Solve for x
    x = 35,438.55/209.40
  6. Step 6: Final answer
    x = 169.24

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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.