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Finding the Fourth Proportional to 214.41, 296.01 and 165.27

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Solution

The fourth proportional to 214.41, 296.01 and 165.27 is: 228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.41 : 296.01 = 165.27 : x
  2. Step 2: Convert to fraction form
    214.41/296.01 = 165.27/x
  3. Step 3: Cross multiply
    214.41x = 296.01 × 165.27
  4. Step 4: Simplify right side
    214.41x = 48,921.57
  5. Step 5: Solve for x
    x = 48,921.57/214.41
  6. Step 6: Final answer
    x = 228.17

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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.