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Finding the Fourth Proportional to 230.51, 318.17 and 142.07

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Solution

The fourth proportional to 230.51, 318.17 and 142.07 is: 196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.51 : 318.17 = 142.07 : x
  2. Step 2: Convert to fraction form
    230.51/318.17 = 142.07/x
  3. Step 3: Cross multiply
    230.51x = 318.17 × 142.07
  4. Step 4: Simplify right side
    230.51x = 45,201.67
  5. Step 5: Solve for x
    x = 45,201.67/230.51
  6. Step 6: Final answer
    x = 196.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.