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Finding the Fourth Proportional to 231.84, 347.54 and 214.38

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Solution

The fourth proportional to 231.84, 347.54 and 214.38 is: 321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.84 : 347.54 = 214.38 : x
  2. Step 2: Convert to fraction form
    231.84/347.54 = 214.38/x
  3. Step 3: Cross multiply
    231.84x = 347.54 × 214.38
  4. Step 4: Simplify right side
    231.84x = 74,504.55
  5. Step 5: Solve for x
    x = 74,504.55/231.84
  6. Step 6: Final answer
    x = 321.36

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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.