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Finding the Fourth Proportional to 230.23, 317.18 and 181.02

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Solution

The fourth proportional to 230.23, 317.18 and 181.02 is: 249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.23 : 317.18 = 181.02 : x
  2. Step 2: Convert to fraction form
    230.23/317.18 = 181.02/x
  3. Step 3: Cross multiply
    230.23x = 317.18 × 181.02
  4. Step 4: Simplify right side
    230.23x = 57,415.92
  5. Step 5: Solve for x
    x = 57,415.92/230.23
  6. Step 6: Final answer
    x = 249.39

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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.