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Finding the Fourth Proportional to 278.12, 416.99 and 156.49

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Solution

The fourth proportional to 278.12, 416.99 and 156.49 is: 234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.12 : 416.99 = 156.49 : x
  2. Step 2: Convert to fraction form
    278.12/416.99 = 156.49/x
  3. Step 3: Cross multiply
    278.12x = 416.99 × 156.49
  4. Step 4: Simplify right side
    278.12x = 65,254.11
  5. Step 5: Solve for x
    x = 65,254.11/278.12
  6. Step 6: Final answer
    x = 234.62

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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.