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Finding the Fourth Proportional to 214.48, 321.86 and 133.07

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Solution

The fourth proportional to 214.48, 321.86 and 133.07 is: 199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.48 : 321.86 = 133.07 : x
  2. Step 2: Convert to fraction form
    214.48/321.86 = 133.07/x
  3. Step 3: Cross multiply
    214.48x = 321.86 × 133.07
  4. Step 4: Simplify right side
    214.48x = 42,829.91
  5. Step 5: Solve for x
    x = 42,829.91/214.48
  6. Step 6: Final answer
    x = 199.69

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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.