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Finding the Fourth Proportional to 230.51, 316.22 and 224.45

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Solution

The fourth proportional to 230.51, 316.22 and 224.45 is: 307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.51 : 316.22 = 224.45 : x
  2. Step 2: Convert to fraction form
    230.51/316.22 = 224.45/x
  3. Step 3: Cross multiply
    230.51x = 316.22 × 224.45
  4. Step 4: Simplify right side
    230.51x = 70,976.91
  5. Step 5: Solve for x
    x = 70,976.91/230.51
  6. Step 6: Final answer
    x = 307.91

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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.