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Finding the Fourth Proportional to 240.57, 361.25 and 214.58

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Solution

The fourth proportional to 240.57, 361.25 and 214.58 is: 322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.57 : 361.25 = 214.58 : x
  2. Step 2: Convert to fraction form
    240.57/361.25 = 214.58/x
  3. Step 3: Cross multiply
    240.57x = 361.25 × 214.58
  4. Step 4: Simplify right side
    240.57x = 77,517.03
  5. Step 5: Solve for x
    x = 77,517.03/240.57
  6. Step 6: Final answer
    x = 322.22

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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.