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Finding the Fourth Proportional to 230.32, 315.65 and 225.64

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Solution

The fourth proportional to 230.32, 315.65 and 225.64 is: 309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.32 : 315.65 = 225.64 : x
  2. Step 2: Convert to fraction form
    230.32/315.65 = 225.64/x
  3. Step 3: Cross multiply
    230.32x = 315.65 × 225.64
  4. Step 4: Simplify right side
    230.32x = 71,223.27
  5. Step 5: Solve for x
    x = 71,223.27/230.32
  6. Step 6: Final answer
    x = 309.24

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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.