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Finding the Fourth Proportional to 230.39, 317.72 and 223.21

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Solution

The fourth proportional to 230.39, 317.72 and 223.21 is: 307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.39 : 317.72 = 223.21 : x
  2. Step 2: Convert to fraction form
    230.39/317.72 = 223.21/x
  3. Step 3: Cross multiply
    230.39x = 317.72 × 223.21
  4. Step 4: Simplify right side
    230.39x = 70,917.45
  5. Step 5: Solve for x
    x = 70,917.45/230.39
  6. Step 6: Final answer
    x = 307.81

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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.