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Finding the Fourth Proportional to 230.08, 317.24 and 142.64

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Solution

The fourth proportional to 230.08, 317.24 and 142.64 is: 196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.08 : 317.24 = 142.64 : x
  2. Step 2: Convert to fraction form
    230.08/317.24 = 142.64/x
  3. Step 3: Cross multiply
    230.08x = 317.24 × 142.64
  4. Step 4: Simplify right side
    230.08x = 45,251.11
  5. Step 5: Solve for x
    x = 45,251.11/230.08
  6. Step 6: Final answer
    x = 196.68

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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.