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Finding the Fourth Proportional to 230.59, 317.95 and 168.31

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Solution

The fourth proportional to 230.59, 317.95 and 168.31 is: 232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.59 : 317.95 = 168.31 : x
  2. Step 2: Convert to fraction form
    230.59/317.95 = 168.31/x
  3. Step 3: Cross multiply
    230.59x = 317.95 × 168.31
  4. Step 4: Simplify right side
    230.59x = 53,514.16
  5. Step 5: Solve for x
    x = 53,514.16/230.59
  6. Step 6: Final answer
    x = 232.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.