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Finding the Fourth Proportional to 241.84, 363.12 and 214.48

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Solution

The fourth proportional to 241.84, 363.12 and 214.48 is: 322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.84 : 363.12 = 214.48 : x
  2. Step 2: Convert to fraction form
    241.84/363.12 = 214.48/x
  3. Step 3: Cross multiply
    241.84x = 363.12 × 214.48
  4. Step 4: Simplify right side
    241.84x = 77,881.98
  5. Step 5: Solve for x
    x = 77,881.98/241.84
  6. Step 6: Final answer
    x = 322.04

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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.