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Finding the Fourth Proportional to 214.80, 296.49 and 165.61

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Solution

The fourth proportional to 214.80, 296.49 and 165.61 is: 228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.80 : 296.49 = 165.61 : x
  2. Step 2: Convert to fraction form
    214.80/296.49 = 165.61/x
  3. Step 3: Cross multiply
    214.80x = 296.49 × 165.61
  4. Step 4: Simplify right side
    214.80x = 49,101.71
  5. Step 5: Solve for x
    x = 49,101.71/214.80
  6. Step 6: Final answer
    x = 228.59

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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.