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Finding the Fourth Proportional to 214.36, 296.12 and 165.86

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Solution

The fourth proportional to 214.36, 296.12 and 165.86 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.36 : 296.12 = 165.86 : x
  2. Step 2: Convert to fraction form
    214.36/296.12 = 165.86/x
  3. Step 3: Cross multiply
    214.36x = 296.12 × 165.86
  4. Step 4: Simplify right side
    214.36x = 49,113.63
  5. Step 5: Solve for x
    x = 49,113.63/214.36
  6. Step 6: Final answer
    x = 229.12

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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.