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Finding the Fourth Proportional to 241.90, 360.27 and 233.40

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Solution

The fourth proportional to 241.90, 360.27 and 233.40 is: 347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.90 : 360.27 = 233.40 : x
  2. Step 2: Convert to fraction form
    241.90/360.27 = 233.40/x
  3. Step 3: Cross multiply
    241.90x = 360.27 × 233.40
  4. Step 4: Simplify right side
    241.90x = 84,087.02
  5. Step 5: Solve for x
    x = 84,087.02/241.90
  6. Step 6: Final answer
    x = 347.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.