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Finding the Fourth Proportional to 278.31, 417.00 and 197.00

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Solution

The fourth proportional to 278.31, 417.00 and 197.00 is: 295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.31 : 417.00 = 197.00 : x
  2. Step 2: Convert to fraction form
    278.31/417.00 = 197.00/x
  3. Step 3: Cross multiply
    278.31x = 417.00 × 197.00
  4. Step 4: Simplify right side
    278.31x = 82,150.78
  5. Step 5: Solve for x
    x = 82,150.78/278.31
  6. Step 6: Final answer
    x = 295.18

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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.