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Finding the Fourth Proportional to 549, 823.64 and 158.99

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Solution

The fourth proportional to 549, 823.64 and 158.99 is: 238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    549 : 823.64 = 158.99 : x
  2. Step 2: Convert to fraction form
    549/823.64 = 158.99/x
  3. Step 3: Cross multiply
    549x = 823.64 × 158.99
  4. Step 4: Simplify right side
    549x = 130,945.61
  5. Step 5: Solve for x
    x = 130,945.61/549
  6. Step 6: Final answer
    x = 238.52

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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.