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Finding the Fourth Proportional to 214.46, 319.86 and 182.17

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Solution

The fourth proportional to 214.46, 319.86 and 182.17 is: 271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.46 : 319.86 = 182.17 : x
  2. Step 2: Convert to fraction form
    214.46/319.86 = 182.17/x
  3. Step 3: Cross multiply
    214.46x = 319.86 × 182.17
  4. Step 4: Simplify right side
    214.46x = 58,267.99
  5. Step 5: Solve for x
    x = 58,267.99/214.46
  6. Step 6: Final answer
    x = 271.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.