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Finding the Fourth Proportional to 214.91, 322.63 and 157.80

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Solution

The fourth proportional to 214.91, 322.63 and 157.80 is: 236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.91 : 322.63 = 157.80 : x
  2. Step 2: Convert to fraction form
    214.91/322.63 = 157.80/x
  3. Step 3: Cross multiply
    214.91x = 322.63 × 157.80
  4. Step 4: Simplify right side
    214.91x = 50,910.62
  5. Step 5: Solve for x
    x = 50,910.62/214.91
  6. Step 6: Final answer
    x = 236.90

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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.