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Finding the Fourth Proportional to 230.34, 317.84 and 141.78

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Solution

The fourth proportional to 230.34, 317.84 and 141.78 is: 195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.34 : 317.84 = 141.78 : x
  2. Step 2: Convert to fraction form
    230.34/317.84 = 141.78/x
  3. Step 3: Cross multiply
    230.34x = 317.84 × 141.78
  4. Step 4: Simplify right side
    230.34x = 45,063.36
  5. Step 5: Solve for x
    x = 45,063.36/230.34
  6. Step 6: Final answer
    x = 195.64

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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.