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Finding the Fourth Proportional to 549.64, 824.35 and 159.56

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Solution

The fourth proportional to 549.64, 824.35 and 159.56 is: 239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.64 : 824.35 = 159.56 : x
  2. Step 2: Convert to fraction form
    549.64/824.35 = 159.56/x
  3. Step 3: Cross multiply
    549.64x = 824.35 × 159.56
  4. Step 4: Simplify right side
    549.64x = 131,534.92
  5. Step 5: Solve for x
    x = 131,534.92/549.64
  6. Step 6: Final answer
    x = 239.31

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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.