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Finding the Fourth Proportional to 278.08, 417.24 and 104.74

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Solution

The fourth proportional to 278.08, 417.24 and 104.74 is: 157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 417.24 = 104.74 : x
  2. Step 2: Convert to fraction form
    278.08/417.24 = 104.74/x
  3. Step 3: Cross multiply
    278.08x = 417.24 × 104.74
  4. Step 4: Simplify right side
    278.08x = 43,701.72
  5. Step 5: Solve for x
    x = 43,701.72/278.08
  6. Step 6: Final answer
    x = 157.16

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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.