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Finding the Fourth Proportional to 230.35, 317.68 and 142.96

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Solution

The fourth proportional to 230.35, 317.68 and 142.96 is: 197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.35 : 317.68 = 142.96 : x
  2. Step 2: Convert to fraction form
    230.35/317.68 = 142.96/x
  3. Step 3: Cross multiply
    230.35x = 317.68 × 142.96
  4. Step 4: Simplify right side
    230.35x = 45,415.53
  5. Step 5: Solve for x
    x = 45,415.53/230.35
  6. Step 6: Final answer
    x = 197.16

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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.