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Finding the Fourth Proportional to 278.96, 417.80 and 209.62

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Solution

The fourth proportional to 278.96, 417.80 and 209.62 is: 313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.96 : 417.80 = 209.62 : x
  2. Step 2: Convert to fraction form
    278.96/417.80 = 209.62/x
  3. Step 3: Cross multiply
    278.96x = 417.80 × 209.62
  4. Step 4: Simplify right side
    278.96x = 87,580.28
  5. Step 5: Solve for x
    x = 87,580.28/278.96
  6. Step 6: Final answer
    x = 313.96

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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.