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Finding the Fourth Proportional to 214.37, 295.98 and 164.49

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Solution

The fourth proportional to 214.37, 295.98 and 164.49 is: 227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.37 : 295.98 = 164.49 : x
  2. Step 2: Convert to fraction form
    214.37/295.98 = 164.49/x
  3. Step 3: Cross multiply
    214.37x = 295.98 × 164.49
  4. Step 4: Simplify right side
    214.37x = 48,685.75
  5. Step 5: Solve for x
    x = 48,685.75/214.37
  6. Step 6: Final answer
    x = 227.11

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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.