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Finding the Fourth Proportional to 230.22, 345.35 and 93.34

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Solution

The fourth proportional to 230.22, 345.35 and 93.34 is: 140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.22 : 345.35 = 93.34 : x
  2. Step 2: Convert to fraction form
    230.22/345.35 = 93.34/x
  3. Step 3: Cross multiply
    230.22x = 345.35 × 93.34
  4. Step 4: Simplify right side
    230.22x = 32,234.97
  5. Step 5: Solve for x
    x = 32,234.97/230.22
  6. Step 6: Final answer
    x = 140.02

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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.