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Finding the Fourth Proportional to 265.80, 399.22 and 214.76

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Solution

The fourth proportional to 265.80, 399.22 and 214.76 is: 322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.80 : 399.22 = 214.76 : x
  2. Step 2: Convert to fraction form
    265.80/399.22 = 214.76/x
  3. Step 3: Cross multiply
    265.80x = 399.22 × 214.76
  4. Step 4: Simplify right side
    265.80x = 85,736.49
  5. Step 5: Solve for x
    x = 85,736.49/265.80
  6. Step 6: Final answer
    x = 322.56

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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.