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Finding the Fourth Proportional to 209.34, 313.96 and 79.35

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Solution

The fourth proportional to 209.34, 313.96 and 79.35 is: 119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 313.96 = 79.35 : x
  2. Step 2: Convert to fraction form
    209.34/313.96 = 79.35/x
  3. Step 3: Cross multiply
    209.34x = 313.96 × 79.35
  4. Step 4: Simplify right side
    209.34x = 24,913.70
  5. Step 5: Solve for x
    x = 24,913.70/209.34
  6. Step 6: Final answer
    x = 119.01

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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.