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Finding the Fourth Proportional to 230.27, 345.42 and 114.79

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Solution

The fourth proportional to 230.27, 345.42 and 114.79 is: 172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.27 : 345.42 = 114.79 : x
  2. Step 2: Convert to fraction form
    230.27/345.42 = 114.79/x
  3. Step 3: Cross multiply
    230.27x = 345.42 × 114.79
  4. Step 4: Simplify right side
    230.27x = 39,649.03
  5. Step 5: Solve for x
    x = 39,649.03/230.27
  6. Step 6: Final answer
    x = 172.19

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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.