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Finding the Fourth Proportional to 214.50, 296.12 and 165.46

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Solution

The fourth proportional to 214.50, 296.12 and 165.46 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.50 : 296.12 = 165.46 : x
  2. Step 2: Convert to fraction form
    214.50/296.12 = 165.46/x
  3. Step 3: Cross multiply
    214.50x = 296.12 × 165.46
  4. Step 4: Simplify right side
    214.50x = 48,996.02
  5. Step 5: Solve for x
    x = 48,996.02/214.50
  6. Step 6: Final answer
    x = 228.42

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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.