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Finding the Fourth Proportional to 214.83, 296.37 and 167.56

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Solution

The fourth proportional to 214.83, 296.37 and 167.56 is: 231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.83 : 296.37 = 167.56 : x
  2. Step 2: Convert to fraction form
    214.83/296.37 = 167.56/x
  3. Step 3: Cross multiply
    214.83x = 296.37 × 167.56
  4. Step 4: Simplify right side
    214.83x = 49,659.76
  5. Step 5: Solve for x
    x = 49,659.76/214.83
  6. Step 6: Final answer
    x = 231.16

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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.