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Finding the Fourth Proportional to 223.62, 308.69 and 150.05

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Solution

The fourth proportional to 223.62, 308.69 and 150.05 is: 207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.62 : 308.69 = 150.05 : x
  2. Step 2: Convert to fraction form
    223.62/308.69 = 150.05/x
  3. Step 3: Cross multiply
    223.62x = 308.69 × 150.05
  4. Step 4: Simplify right side
    223.62x = 46,318.93
  5. Step 5: Solve for x
    x = 46,318.93/223.62
  6. Step 6: Final answer
    x = 207.13

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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.