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Finding the Fourth Proportional to 243.29, 367.58 and 241.13

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Solution

The fourth proportional to 243.29, 367.58 and 241.13 is: 364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.29 : 367.58 = 241.13 : x
  2. Step 2: Convert to fraction form
    243.29/367.58 = 241.13/x
  3. Step 3: Cross multiply
    243.29x = 367.58 × 241.13
  4. Step 4: Simplify right side
    243.29x = 88,631.52
  5. Step 5: Solve for x
    x = 88,631.52/243.29
  6. Step 6: Final answer
    x = 364.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.