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Finding the Fourth Proportional to 549.25, 823.75 and 159.15

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Solution

The fourth proportional to 549.25, 823.75 and 159.15 is: 238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.25 : 823.75 = 159.15 : x
  2. Step 2: Convert to fraction form
    549.25/823.75 = 159.15/x
  3. Step 3: Cross multiply
    549.25x = 823.75 × 159.15
  4. Step 4: Simplify right side
    549.25x = 131,100.63
  5. Step 5: Solve for x
    x = 131,100.63/549.25
  6. Step 6: Final answer
    x = 238.69

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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.