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Finding the Fourth Proportional to 278.19, 417.24 and 124.07

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Solution

The fourth proportional to 278.19, 417.24 and 124.07 is: 186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.19 : 417.24 = 124.07 : x
  2. Step 2: Convert to fraction form
    278.19/417.24 = 124.07/x
  3. Step 3: Cross multiply
    278.19x = 417.24 × 124.07
  4. Step 4: Simplify right side
    278.19x = 51,764.88
  5. Step 5: Solve for x
    x = 51,764.88/278.19
  6. Step 6: Final answer
    x = 186.08

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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.