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Finding the Fourth Proportional to 381.07, 525.89 and 215.27

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Solution

The fourth proportional to 381.07, 525.89 and 215.27 is: 297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.07 : 525.89 = 215.27 : x
  2. Step 2: Convert to fraction form
    381.07/525.89 = 215.27/x
  3. Step 3: Cross multiply
    381.07x = 525.89 × 215.27
  4. Step 4: Simplify right side
    381.07x = 113,208.34
  5. Step 5: Solve for x
    x = 113,208.34/381.07
  6. Step 6: Final answer
    x = 297.08

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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.