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Finding the Fourth Proportional to 223.34, 335.16 and 158.34

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Solution

The fourth proportional to 223.34, 335.16 and 158.34 is: 237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.34 : 335.16 = 158.34 : x
  2. Step 2: Convert to fraction form
    223.34/335.16 = 158.34/x
  3. Step 3: Cross multiply
    223.34x = 335.16 × 158.34
  4. Step 4: Simplify right side
    223.34x = 53,069.23
  5. Step 5: Solve for x
    x = 53,069.23/223.34
  6. Step 6: Final answer
    x = 237.62

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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.