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Finding the Fourth Proportional to 278.02, 415.33 and 200.32

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Solution

The fourth proportional to 278.02, 415.33 and 200.32 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 415.33 = 200.32 : x
  2. Step 2: Convert to fraction form
    278.02/415.33 = 200.32/x
  3. Step 3: Cross multiply
    278.02x = 415.33 × 200.32
  4. Step 4: Simplify right side
    278.02x = 83,197.90
  5. Step 5: Solve for x
    x = 83,197.90/278.02
  6. Step 6: Final answer
    x = 299.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.