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Finding the Fourth Proportional to 549.65, 824.23 and 164.93

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Solution

The fourth proportional to 549.65, 824.23 and 164.93 is: 247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.65 : 824.23 = 164.93 : x
  2. Step 2: Convert to fraction form
    549.65/824.23 = 164.93/x
  3. Step 3: Cross multiply
    549.65x = 824.23 × 164.93
  4. Step 4: Simplify right side
    549.65x = 135,940.25
  5. Step 5: Solve for x
    x = 135,940.25/549.65
  6. Step 6: Final answer
    x = 247.32

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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.