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Finding the Fourth Proportional to 381.23, 526.08 and 215.43

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Solution

The fourth proportional to 381.23, 526.08 and 215.43 is: 297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.23 : 526.08 = 215.43 : x
  2. Step 2: Convert to fraction form
    381.23/526.08 = 215.43/x
  3. Step 3: Cross multiply
    381.23x = 526.08 × 215.43
  4. Step 4: Simplify right side
    381.23x = 113,333.41
  5. Step 5: Solve for x
    x = 113,333.41/381.23
  6. Step 6: Final answer
    x = 297.28

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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.