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Finding the Fourth Proportional to 214.41, 295.91 and 164.69

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Solution

The fourth proportional to 214.41, 295.91 and 164.69 is: 227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.41 : 295.91 = 164.69 : x
  2. Step 2: Convert to fraction form
    214.41/295.91 = 164.69/x
  3. Step 3: Cross multiply
    214.41x = 295.91 × 164.69
  4. Step 4: Simplify right side
    214.41x = 48,731.11
  5. Step 5: Solve for x
    x = 48,731.11/214.41
  6. Step 6: Final answer
    x = 227.28

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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.