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Finding the Fourth Proportional to 214.24, 294.37 and 170.50

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Solution

The fourth proportional to 214.24, 294.37 and 170.50 is: 234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.24 : 294.37 = 170.50 : x
  2. Step 2: Convert to fraction form
    214.24/294.37 = 170.50/x
  3. Step 3: Cross multiply
    214.24x = 294.37 × 170.50
  4. Step 4: Simplify right side
    214.24x = 50,190.09
  5. Step 5: Solve for x
    x = 50,190.09/214.24
  6. Step 6: Final answer
    x = 234.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.