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Finding the Fourth Proportional to 231.54, 347.40 and 214.12

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Solution

The fourth proportional to 231.54, 347.40 and 214.12 is: 321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.54 : 347.40 = 214.12 : x
  2. Step 2: Convert to fraction form
    231.54/347.40 = 214.12/x
  3. Step 3: Cross multiply
    231.54x = 347.40 × 214.12
  4. Step 4: Simplify right side
    231.54x = 74,385.29
  5. Step 5: Solve for x
    x = 74,385.29/231.54
  6. Step 6: Final answer
    x = 321.26

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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.