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Finding the Fourth Proportional to 278.15, 417.27 and 104.81

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Solution

The fourth proportional to 278.15, 417.27 and 104.81 is: 157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.15 : 417.27 = 104.81 : x
  2. Step 2: Convert to fraction form
    278.15/417.27 = 104.81/x
  3. Step 3: Cross multiply
    278.15x = 417.27 × 104.81
  4. Step 4: Simplify right side
    278.15x = 43,731.98
  5. Step 5: Solve for x
    x = 43,731.98/278.15
  6. Step 6: Final answer
    x = 157.23

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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.