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Finding the Fourth Proportional to 265.42, 397.57 and 213.78

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Solution

The fourth proportional to 265.42, 397.57 and 213.78 is: 320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.42 : 397.57 = 213.78 : x
  2. Step 2: Convert to fraction form
    265.42/397.57 = 213.78/x
  3. Step 3: Cross multiply
    265.42x = 397.57 × 213.78
  4. Step 4: Simplify right side
    265.42x = 84,992.51
  5. Step 5: Solve for x
    x = 84,992.51/265.42
  6. Step 6: Final answer
    x = 320.22

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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.