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Finding the Fourth Proportional to 209.76, 314.04 and 195.34

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Solution

The fourth proportional to 209.76, 314.04 and 195.34 is: 292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.76 : 314.04 = 195.34 : x
  2. Step 2: Convert to fraction form
    209.76/314.04 = 195.34/x
  3. Step 3: Cross multiply
    209.76x = 314.04 × 195.34
  4. Step 4: Simplify right side
    209.76x = 61,344.57
  5. Step 5: Solve for x
    x = 61,344.57/209.76
  6. Step 6: Final answer
    x = 292.45

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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.