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Finding the Fourth Proportional to 278.01, 417.09 and 83.03

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Solution

The fourth proportional to 278.01, 417.09 and 83.03 is: 124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.01 : 417.09 = 83.03 : x
  2. Step 2: Convert to fraction form
    278.01/417.09 = 83.03/x
  3. Step 3: Cross multiply
    278.01x = 417.09 × 83.03
  4. Step 4: Simplify right side
    278.01x = 34,629.21
  5. Step 5: Solve for x
    x = 34,629.21/278.01
  6. Step 6: Final answer
    x = 124.56

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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.