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Finding the Fourth Proportional to 278.41, 417.64 and 83.41

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Solution

The fourth proportional to 278.41, 417.64 and 83.41 is: 125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.41 : 417.64 = 83.41 : x
  2. Step 2: Convert to fraction form
    278.41/417.64 = 83.41/x
  3. Step 3: Cross multiply
    278.41x = 417.64 × 83.41
  4. Step 4: Simplify right side
    278.41x = 34,834.10
  5. Step 5: Solve for x
    x = 34,834.10/278.41
  6. Step 6: Final answer
    x = 125.12

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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.