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Finding the Fourth Proportional to 230.53, 318.10 and 137.31

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Solution

The fourth proportional to 230.53, 318.10 and 137.31 is: 189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.53 : 318.10 = 137.31 : x
  2. Step 2: Convert to fraction form
    230.53/318.10 = 137.31/x
  3. Step 3: Cross multiply
    230.53x = 318.10 × 137.31
  4. Step 4: Simplify right side
    230.53x = 43,678.31
  5. Step 5: Solve for x
    x = 43,678.31/230.53
  6. Step 6: Final answer
    x = 189.47

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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.