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Finding the Fourth Proportional to 223.24, 308.10 and 145.96

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Solution

The fourth proportional to 223.24, 308.10 and 145.96 is: 201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.24 : 308.10 = 145.96 : x
  2. Step 2: Convert to fraction form
    223.24/308.10 = 145.96/x
  3. Step 3: Cross multiply
    223.24x = 308.10 × 145.96
  4. Step 4: Simplify right side
    223.24x = 44,970.28
  5. Step 5: Solve for x
    x = 44,970.28/223.24
  6. Step 6: Final answer
    x = 201.44

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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.