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Finding the Fourth Proportional to 214, 320.86 and 105.76

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Solution

The fourth proportional to 214, 320.86 and 105.76 is: 158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214 : 320.86 = 105.76 : x
  2. Step 2: Convert to fraction form
    214/320.86 = 105.76/x
  3. Step 3: Cross multiply
    214x = 320.86 × 105.76
  4. Step 4: Simplify right side
    214x = 33,934.15
  5. Step 5: Solve for x
    x = 33,934.15/214
  6. Step 6: Final answer
    x = 158.57

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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.