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Finding the Fourth Proportional to 381.10, 525.71 and 225.82

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Solution

The fourth proportional to 381.10, 525.71 and 225.82 is: 311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.10 : 525.71 = 225.82 : x
  2. Step 2: Convert to fraction form
    381.10/525.71 = 225.82/x
  3. Step 3: Cross multiply
    381.10x = 525.71 × 225.82
  4. Step 4: Simplify right side
    381.10x = 118,715.83
  5. Step 5: Solve for x
    x = 118,715.83/381.10
  6. Step 6: Final answer
    x = 311.51

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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.