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Finding the Fourth Proportional to 230.32, 345.22 and 101.96

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Solution

The fourth proportional to 230.32, 345.22 and 101.96 is: 152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.32 : 345.22 = 101.96 : x
  2. Step 2: Convert to fraction form
    230.32/345.22 = 101.96/x
  3. Step 3: Cross multiply
    230.32x = 345.22 × 101.96
  4. Step 4: Simplify right side
    230.32x = 35,198.63
  5. Step 5: Solve for x
    x = 35,198.63/230.32
  6. Step 6: Final answer
    x = 152.82

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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.