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Finding the Fourth Proportional to 230.38, 317.86 and 137.08

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Solution

The fourth proportional to 230.38, 317.86 and 137.08 is: 189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.38 : 317.86 = 137.08 : x
  2. Step 2: Convert to fraction form
    230.38/317.86 = 137.08/x
  3. Step 3: Cross multiply
    230.38x = 317.86 × 137.08
  4. Step 4: Simplify right side
    230.38x = 43,572.25
  5. Step 5: Solve for x
    x = 43,572.25/230.38
  6. Step 6: Final answer
    x = 189.13

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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.