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Finding the Fourth Proportional to 214.13, 320.90 and 92.31

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Solution

The fourth proportional to 214.13, 320.90 and 92.31 is: 138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.13 : 320.90 = 92.31 : x
  2. Step 2: Convert to fraction form
    214.13/320.90 = 92.31/x
  3. Step 3: Cross multiply
    214.13x = 320.90 × 92.31
  4. Step 4: Simplify right side
    214.13x = 29,621.82
  5. Step 5: Solve for x
    x = 29,621.82/214.13
  6. Step 6: Final answer
    x = 138.34

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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.