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Finding the Fourth Proportional to 278.36, 417.90 and 197.24

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Solution

The fourth proportional to 278.36, 417.90 and 197.24 is: 296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.36 : 417.90 = 197.24 : x
  2. Step 2: Convert to fraction form
    278.36/417.90 = 197.24/x
  3. Step 3: Cross multiply
    278.36x = 417.90 × 197.24
  4. Step 4: Simplify right side
    278.36x = 82,426.60
  5. Step 5: Solve for x
    x = 82,426.60/278.36
  6. Step 6: Final answer
    x = 296.12

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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.