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Finding the Fourth Proportional to 214.82, 296.45 and 120.31

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Solution

The fourth proportional to 214.82, 296.45 and 120.31 is: 166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.82 : 296.45 = 120.31 : x
  2. Step 2: Convert to fraction form
    214.82/296.45 = 120.31/x
  3. Step 3: Cross multiply
    214.82x = 296.45 × 120.31
  4. Step 4: Simplify right side
    214.82x = 35,665.46
  5. Step 5: Solve for x
    x = 35,665.46/214.82
  6. Step 6: Final answer
    x = 166.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.