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Finding the Fourth Proportional to 549.71, 824.51 and 164.96

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Solution

The fourth proportional to 549.71, 824.51 and 164.96 is: 247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.71 : 824.51 = 164.96 : x
  2. Step 2: Convert to fraction form
    549.71/824.51 = 164.96/x
  3. Step 3: Cross multiply
    549.71x = 824.51 × 164.96
  4. Step 4: Simplify right side
    549.71x = 136,006.22
  5. Step 5: Solve for x
    x = 136,006.22/549.71
  6. Step 6: Final answer
    x = 247.42

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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.