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Finding the Fourth Proportional to 279.07, 417.73 and 191.90

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Solution

The fourth proportional to 279.07, 417.73 and 191.90 is: 287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.07 : 417.73 = 191.90 : x
  2. Step 2: Convert to fraction form
    279.07/417.73 = 191.90/x
  3. Step 3: Cross multiply
    279.07x = 417.73 × 191.90
  4. Step 4: Simplify right side
    279.07x = 80,160.30
  5. Step 5: Solve for x
    x = 80,160.30/279.07
  6. Step 6: Final answer
    x = 287.24

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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.