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Finding the Fourth Proportional to 278.72, 417.80 and 193.04

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Solution

The fourth proportional to 278.72, 417.80 and 193.04 is: 289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.72 : 417.80 = 193.04 : x
  2. Step 2: Convert to fraction form
    278.72/417.80 = 193.04/x
  3. Step 3: Cross multiply
    278.72x = 417.80 × 193.04
  4. Step 4: Simplify right side
    278.72x = 80,652.11
  5. Step 5: Solve for x
    x = 80,652.11/278.72
  6. Step 6: Final answer
    x = 289.37

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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.