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Finding the Fourth Proportional to 381.40, 571.77 and 176.06

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Solution

The fourth proportional to 381.40, 571.77 and 176.06 is: 263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.40 : 571.77 = 176.06 : x
  2. Step 2: Convert to fraction form
    381.40/571.77 = 176.06/x
  3. Step 3: Cross multiply
    381.40x = 571.77 × 176.06
  4. Step 4: Simplify right side
    381.40x = 100,665.83
  5. Step 5: Solve for x
    x = 100,665.83/381.40
  6. Step 6: Final answer
    x = 263.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.