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Finding the Fourth Proportional to 278.82, 417.42 and 209.93

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Solution

The fourth proportional to 278.82, 417.42 and 209.93 is: 314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.82 : 417.42 = 209.93 : x
  2. Step 2: Convert to fraction form
    278.82/417.42 = 209.93/x
  3. Step 3: Cross multiply
    278.82x = 417.42 × 209.93
  4. Step 4: Simplify right side
    278.82x = 87,626.89
  5. Step 5: Solve for x
    x = 87,626.89/278.82
  6. Step 6: Final answer
    x = 314.28

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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.