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Finding the Fourth Proportional to 209.41, 314.06 and 106.58

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Solution

The fourth proportional to 209.41, 314.06 and 106.58 is: 159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.41 : 314.06 = 106.58 : x
  2. Step 2: Convert to fraction form
    209.41/314.06 = 106.58/x
  3. Step 3: Cross multiply
    209.41x = 314.06 × 106.58
  4. Step 4: Simplify right side
    209.41x = 33,473.57
  5. Step 5: Solve for x
    x = 33,473.57/209.41
  6. Step 6: Final answer
    x = 159.85

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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.