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Finding the Fourth Proportional to 214.24, 294.80 and 182.56

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Solution

The fourth proportional to 214.24, 294.80 and 182.56 is: 251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.24 : 294.80 = 182.56 : x
  2. Step 2: Convert to fraction form
    214.24/294.80 = 182.56/x
  3. Step 3: Cross multiply
    214.24x = 294.80 × 182.56
  4. Step 4: Simplify right side
    214.24x = 53,818.69
  5. Step 5: Solve for x
    x = 53,818.69/214.24
  6. Step 6: Final answer
    x = 251.21

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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.