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Finding the Fourth Proportional to 230.07, 317.50 and 131.83

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Solution

The fourth proportional to 230.07, 317.50 and 131.83 is: 181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.07 : 317.50 = 131.83 : x
  2. Step 2: Convert to fraction form
    230.07/317.50 = 131.83/x
  3. Step 3: Cross multiply
    230.07x = 317.50 × 131.83
  4. Step 4: Simplify right side
    230.07x = 41,854.90
  5. Step 5: Solve for x
    x = 41,854.90/230.07
  6. Step 6: Final answer
    x = 181.92

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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.