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Finding the Fourth Proportional to 209.32, 313.60 and 106.52

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Solution

The fourth proportional to 209.32, 313.60 and 106.52 is: 159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.32 : 313.60 = 106.52 : x
  2. Step 2: Convert to fraction form
    209.32/313.60 = 106.52/x
  3. Step 3: Cross multiply
    209.32x = 313.60 × 106.52
  4. Step 4: Simplify right side
    209.32x = 33,404.67
  5. Step 5: Solve for x
    x = 33,404.67/209.32
  6. Step 6: Final answer
    x = 159.59

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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.