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Finding the Fourth Proportional to 230.88, 318.65 and 137.64

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Solution

The fourth proportional to 230.88, 318.65 and 137.64 is: 189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.88 : 318.65 = 137.64 : x
  2. Step 2: Convert to fraction form
    230.88/318.65 = 137.64/x
  3. Step 3: Cross multiply
    230.88x = 318.65 × 137.64
  4. Step 4: Simplify right side
    230.88x = 43,857.74
  5. Step 5: Solve for x
    x = 43,857.74/230.88
  6. Step 6: Final answer
    x = 189.96

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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.