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Finding the Fourth Proportional to 230.13, 317.34 and 142.74

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Solution

The fourth proportional to 230.13, 317.34 and 142.74 is: 196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.13 : 317.34 = 142.74 : x
  2. Step 2: Convert to fraction form
    230.13/317.34 = 142.74/x
  3. Step 3: Cross multiply
    230.13x = 317.34 × 142.74
  4. Step 4: Simplify right side
    230.13x = 45,297.11
  5. Step 5: Solve for x
    x = 45,297.11/230.13
  6. Step 6: Final answer
    x = 196.83

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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.