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Finding the Fourth Proportional to 230.82, 346.27 and 102.66

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Solution

The fourth proportional to 230.82, 346.27 and 102.66 is: 154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.82 : 346.27 = 102.66 : x
  2. Step 2: Convert to fraction form
    230.82/346.27 = 102.66/x
  3. Step 3: Cross multiply
    230.82x = 346.27 × 102.66
  4. Step 4: Simplify right side
    230.82x = 35,548.08
  5. Step 5: Solve for x
    x = 35,548.08/230.82
  6. Step 6: Final answer
    x = 154.01

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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.