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Finding the Fourth Proportional to 230.85, 317.93 and 225.81

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Solution

The fourth proportional to 230.85, 317.93 and 225.81 is: 310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.85 : 317.93 = 225.81 : x
  2. Step 2: Convert to fraction form
    230.85/317.93 = 225.81/x
  3. Step 3: Cross multiply
    230.85x = 317.93 × 225.81
  4. Step 4: Simplify right side
    230.85x = 71,790.64
  5. Step 5: Solve for x
    x = 71,790.64/230.85
  6. Step 6: Final answer
    x = 310.98

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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.