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Finding the Fourth Proportional to 381.01, 525.84 and 215.23

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Solution

The fourth proportional to 381.01, 525.84 and 215.23 is: 297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.01 : 525.84 = 215.23 : x
  2. Step 2: Convert to fraction form
    381.01/525.84 = 215.23/x
  3. Step 3: Cross multiply
    381.01x = 525.84 × 215.23
  4. Step 4: Simplify right side
    381.01x = 113,176.54
  5. Step 5: Solve for x
    x = 113,176.54/381.01
  6. Step 6: Final answer
    x = 297.04

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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.