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Finding the Fourth Proportional to 278.52, 416.57 and 194.89

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Solution

The fourth proportional to 278.52, 416.57 and 194.89 is: 291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.52 : 416.57 = 194.89 : x
  2. Step 2: Convert to fraction form
    278.52/416.57 = 194.89/x
  3. Step 3: Cross multiply
    278.52x = 416.57 × 194.89
  4. Step 4: Simplify right side
    278.52x = 81,184.35
  5. Step 5: Solve for x
    x = 81,184.35/278.52
  6. Step 6: Final answer
    x = 291.48

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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.