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Finding the Fourth Proportional to 209.76, 314.40 and 185.76

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Solution

The fourth proportional to 209.76, 314.40 and 185.76 is: 278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.76 : 314.40 = 185.76 : x
  2. Step 2: Convert to fraction form
    209.76/314.40 = 185.76/x
  3. Step 3: Cross multiply
    209.76x = 314.40 × 185.76
  4. Step 4: Simplify right side
    209.76x = 58,402.94
  5. Step 5: Solve for x
    x = 58,402.94/209.76
  6. Step 6: Final answer
    x = 278.43

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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.