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Finding the Fourth Proportional to 397.93, 549.16 and 223.26

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Solution

The fourth proportional to 397.93, 549.16 and 223.26 is: 308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.93 : 549.16 = 223.26 : x
  2. Step 2: Convert to fraction form
    397.93/549.16 = 223.26/x
  3. Step 3: Cross multiply
    397.93x = 549.16 × 223.26
  4. Step 4: Simplify right side
    397.93x = 122,605.46
  5. Step 5: Solve for x
    x = 122,605.46/397.93
  6. Step 6: Final answer
    x = 308.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.