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Finding the Fourth Proportional to 230.34, 344.72 and 217.02

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Solution

The fourth proportional to 230.34, 344.72 and 217.02 is: 324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.34 : 344.72 = 217.02 : x
  2. Step 2: Convert to fraction form
    230.34/344.72 = 217.02/x
  3. Step 3: Cross multiply
    230.34x = 344.72 × 217.02
  4. Step 4: Simplify right side
    230.34x = 74,809.63
  5. Step 5: Solve for x
    x = 74,809.63/230.34
  6. Step 6: Final answer
    x = 324.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.