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Finding the Fourth Proportional to 398.15, 549.50 and 223.50

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Solution

The fourth proportional to 398.15, 549.50 and 223.50 is: 308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.15 : 549.50 = 223.50 : x
  2. Step 2: Convert to fraction form
    398.15/549.50 = 223.50/x
  3. Step 3: Cross multiply
    398.15x = 549.50 × 223.50
  4. Step 4: Simplify right side
    398.15x = 122,812.13
  5. Step 5: Solve for x
    x = 122,812.13/398.15
  6. Step 6: Final answer
    x = 308.46

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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.