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Finding the Fourth Proportional to 214.45, 296.00 and 131.68

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Solution

The fourth proportional to 214.45, 296.00 and 131.68 is: 181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.45 : 296.00 = 131.68 : x
  2. Step 2: Convert to fraction form
    214.45/296.00 = 131.68/x
  3. Step 3: Cross multiply
    214.45x = 296.00 × 131.68
  4. Step 4: Simplify right side
    214.45x = 38,976.56
  5. Step 5: Solve for x
    x = 38,976.56/214.45
  6. Step 6: Final answer
    x = 181.75

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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.