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Finding the Fourth Proportional to 243.19, 362.82 and 214.03

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Solution

The fourth proportional to 243.19, 362.82 and 214.03 is: 319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.19 : 362.82 = 214.03 : x
  2. Step 2: Convert to fraction form
    243.19/362.82 = 214.03/x
  3. Step 3: Cross multiply
    243.19x = 362.82 × 214.03
  4. Step 4: Simplify right side
    243.19x = 77,654.36
  5. Step 5: Solve for x
    x = 77,654.36/243.19
  6. Step 6: Final answer
    x = 319.32

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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.