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Finding the Fourth Proportional to 214.49, 322.01 and 182.63

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Solution

The fourth proportional to 214.49, 322.01 and 182.63 is: 274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.49 : 322.01 = 182.63 : x
  2. Step 2: Convert to fraction form
    214.49/322.01 = 182.63/x
  3. Step 3: Cross multiply
    214.49x = 322.01 × 182.63
  4. Step 4: Simplify right side
    214.49x = 58,808.69
  5. Step 5: Solve for x
    x = 58,808.69/214.49
  6. Step 6: Final answer
    x = 274.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.