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Finding the Fourth Proportional to 240.93, 363.42 and 233.64

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Solution

The fourth proportional to 240.93, 363.42 and 233.64 is: 352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.93 : 363.42 = 233.64 : x
  2. Step 2: Convert to fraction form
    240.93/363.42 = 233.64/x
  3. Step 3: Cross multiply
    240.93x = 363.42 × 233.64
  4. Step 4: Simplify right side
    240.93x = 84,909.45
  5. Step 5: Solve for x
    x = 84,909.45/240.93
  6. Step 6: Final answer
    x = 352.42

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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.