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Finding the Fourth Proportional to 230.07, 315.39 and 225.93

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Solution

The fourth proportional to 230.07, 315.39 and 225.93 is: 309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.07 : 315.39 = 225.93 : x
  2. Step 2: Convert to fraction form
    230.07/315.39 = 225.93/x
  3. Step 3: Cross multiply
    230.07x = 315.39 × 225.93
  4. Step 4: Simplify right side
    230.07x = 71,256.06
  5. Step 5: Solve for x
    x = 71,256.06/230.07
  6. Step 6: Final answer
    x = 309.71

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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.