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Finding the Fourth Proportional to 279.02, 417.78 and 197.42

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Solution

The fourth proportional to 279.02, 417.78 and 197.42 is: 295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.02 : 417.78 = 197.42 : x
  2. Step 2: Convert to fraction form
    279.02/417.78 = 197.42/x
  3. Step 3: Cross multiply
    279.02x = 417.78 × 197.42
  4. Step 4: Simplify right side
    279.02x = 82,478.13
  5. Step 5: Solve for x
    x = 82,478.13/279.02
  6. Step 6: Final answer
    x = 295.60

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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.