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Finding the Fourth Proportional to 243.36, 334.26 and 214.20

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Solution

The fourth proportional to 243.36, 334.26 and 214.20 is: 294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.36 : 334.26 = 214.20 : x
  2. Step 2: Convert to fraction form
    243.36/334.26 = 214.20/x
  3. Step 3: Cross multiply
    243.36x = 334.26 × 214.20
  4. Step 4: Simplify right side
    243.36x = 71,598.49
  5. Step 5: Solve for x
    x = 71,598.49/243.36
  6. Step 6: Final answer
    x = 294.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.