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Finding the Fourth Proportional to 214.75, 296.31 and 165.01

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Solution

The fourth proportional to 214.75, 296.31 and 165.01 is: 227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.75 : 296.31 = 165.01 : x
  2. Step 2: Convert to fraction form
    214.75/296.31 = 165.01/x
  3. Step 3: Cross multiply
    214.75x = 296.31 × 165.01
  4. Step 4: Simplify right side
    214.75x = 48,894.11
  5. Step 5: Solve for x
    x = 48,894.11/214.75
  6. Step 6: Final answer
    x = 227.68

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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.