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Finding the Fourth Proportional to 230.63, 318.26 and 143.35

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Solution

The fourth proportional to 230.63, 318.26 and 143.35 is: 197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.63 : 318.26 = 143.35 : x
  2. Step 2: Convert to fraction form
    230.63/318.26 = 143.35/x
  3. Step 3: Cross multiply
    230.63x = 318.26 × 143.35
  4. Step 4: Simplify right side
    230.63x = 45,622.13
  5. Step 5: Solve for x
    x = 45,622.13/230.63
  6. Step 6: Final answer
    x = 197.82

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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.