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Finding the Fourth Proportional to 214.32, 295.26 and 165.12

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Solution

The fourth proportional to 214.32, 295.26 and 165.12 is: 227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 295.26 = 165.12 : x
  2. Step 2: Convert to fraction form
    214.32/295.26 = 165.12/x
  3. Step 3: Cross multiply
    214.32x = 295.26 × 165.12
  4. Step 4: Simplify right side
    214.32x = 48,753.33
  5. Step 5: Solve for x
    x = 48,753.33/214.32
  6. Step 6: Final answer
    x = 227.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.