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Finding the Fourth Proportional to 231.63, 318.35 and 225.15

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Solution

The fourth proportional to 231.63, 318.35 and 225.15 is: 309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.63 : 318.35 = 225.15 : x
  2. Step 2: Convert to fraction form
    231.63/318.35 = 225.15/x
  3. Step 3: Cross multiply
    231.63x = 318.35 × 225.15
  4. Step 4: Simplify right side
    231.63x = 71,675.38
  5. Step 5: Solve for x
    x = 71,675.38/231.63
  6. Step 6: Final answer
    x = 309.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.