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Finding the Fourth Proportional to 214.94, 321.60 and 133.58

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Solution

The fourth proportional to 214.94, 321.60 and 133.58 is: 199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.94 : 321.60 = 133.58 : x
  2. Step 2: Convert to fraction form
    214.94/321.60 = 133.58/x
  3. Step 3: Cross multiply
    214.94x = 321.60 × 133.58
  4. Step 4: Simplify right side
    214.94x = 42,959.33
  5. Step 5: Solve for x
    x = 42,959.33/214.94
  6. Step 6: Final answer
    x = 199.87

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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.