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Finding the Fourth Proportional to 265.30, 365.49 and 213.46

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Solution

The fourth proportional to 265.30, 365.49 and 213.46 is: 294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.30 : 365.49 = 213.46 : x
  2. Step 2: Convert to fraction form
    265.30/365.49 = 213.46/x
  3. Step 3: Cross multiply
    265.30x = 365.49 × 213.46
  4. Step 4: Simplify right side
    265.30x = 78,017.50
  5. Step 5: Solve for x
    x = 78,017.50/265.30
  6. Step 6: Final answer
    x = 294.07

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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.