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Finding the Fourth Proportional to 230.64, 318.24 and 142.04

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Solution

The fourth proportional to 230.64, 318.24 and 142.04 is: 195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.64 : 318.24 = 142.04 : x
  2. Step 2: Convert to fraction form
    230.64/318.24 = 142.04/x
  3. Step 3: Cross multiply
    230.64x = 318.24 × 142.04
  4. Step 4: Simplify right side
    230.64x = 45,201.22
  5. Step 5: Solve for x
    x = 45,201.22/230.64
  6. Step 6: Final answer
    x = 195.98

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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.