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Finding the Fourth Proportional to 278.40, 417.92 and 193.28

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Solution

The fourth proportional to 278.40, 417.92 and 193.28 is: 290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.40 : 417.92 = 193.28 : x
  2. Step 2: Convert to fraction form
    278.40/417.92 = 193.28/x
  3. Step 3: Cross multiply
    278.40x = 417.92 × 193.28
  4. Step 4: Simplify right side
    278.40x = 80,775.58
  5. Step 5: Solve for x
    x = 80,775.58/278.40
  6. Step 6: Final answer
    x = 290.14

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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.