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Finding the Fourth Proportional to 549.48, 823.88 and 179.16

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Solution

The fourth proportional to 549.48, 823.88 and 179.16 is: 268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.48 : 823.88 = 179.16 : x
  2. Step 2: Convert to fraction form
    549.48/823.88 = 179.16/x
  3. Step 3: Cross multiply
    549.48x = 823.88 × 179.16
  4. Step 4: Simplify right side
    549.48x = 147,606.34
  5. Step 5: Solve for x
    x = 147,606.34/549.48
  6. Step 6: Final answer
    x = 268.63

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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.