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Finding the Fourth Proportional to 214.73, 296.45 and 165.72

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Solution

The fourth proportional to 214.73, 296.45 and 165.72 is: 228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.73 : 296.45 = 165.72 : x
  2. Step 2: Convert to fraction form
    214.73/296.45 = 165.72/x
  3. Step 3: Cross multiply
    214.73x = 296.45 × 165.72
  4. Step 4: Simplify right side
    214.73x = 49,127.69
  5. Step 5: Solve for x
    x = 49,127.69/214.73
  6. Step 6: Final answer
    x = 228.79

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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.