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Finding the Fourth Proportional to 278.09, 417.23 and 124

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Solution

The fourth proportional to 278.09, 417.23 and 124 is: 186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.09 : 417.23 = 124 : x
  2. Step 2: Convert to fraction form
    278.09/417.23 = 124/x
  3. Step 3: Cross multiply
    278.09x = 417.23 × 124
  4. Step 4: Simplify right side
    278.09x = 51,736.52
  5. Step 5: Solve for x
    x = 51,736.52/278.09
  6. Step 6: Final answer
    x = 186.04

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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.