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Finding the Fourth Proportional to 278.23, 416.80 and 185.71

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Solution

The fourth proportional to 278.23, 416.80 and 185.71 is: 278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.23 : 416.80 = 185.71 : x
  2. Step 2: Convert to fraction form
    278.23/416.80 = 185.71/x
  3. Step 3: Cross multiply
    278.23x = 416.80 × 185.71
  4. Step 4: Simplify right side
    278.23x = 77,403.93
  5. Step 5: Solve for x
    x = 77,403.93/278.23
  6. Step 6: Final answer
    x = 278.20

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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.