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Finding the Fourth Proportional to 278.08, 417.04 and 104.63

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Solution

The fourth proportional to 278.08, 417.04 and 104.63 is: 156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 417.04 = 104.63 : x
  2. Step 2: Convert to fraction form
    278.08/417.04 = 104.63/x
  3. Step 3: Cross multiply
    278.08x = 417.04 × 104.63
  4. Step 4: Simplify right side
    278.08x = 43,636.59
  5. Step 5: Solve for x
    x = 43,636.59/278.08
  6. Step 6: Final answer
    x = 156.92

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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.