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Finding the Fourth Proportional to 241.59, 363.85 and 214.52

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Solution

The fourth proportional to 241.59, 363.85 and 214.52 is: 323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.59 : 363.85 = 214.52 : x
  2. Step 2: Convert to fraction form
    241.59/363.85 = 214.52/x
  3. Step 3: Cross multiply
    241.59x = 363.85 × 214.52
  4. Step 4: Simplify right side
    241.59x = 78,050.75
  5. Step 5: Solve for x
    x = 78,050.75/241.59
  6. Step 6: Final answer
    x = 323.07

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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.