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Finding the Fourth Proportional to 278.40, 416.83 and 209.71

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Solution

The fourth proportional to 278.40, 416.83 and 209.71 is: 313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.40 : 416.83 = 209.71 : x
  2. Step 2: Convert to fraction form
    278.40/416.83 = 209.71/x
  3. Step 3: Cross multiply
    278.40x = 416.83 × 209.71
  4. Step 4: Simplify right side
    278.40x = 87,412.37
  5. Step 5: Solve for x
    x = 87,412.37/278.40
  6. Step 6: Final answer
    x = 313.98

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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.