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Finding the Fourth Proportional to 381.51, 571.95 and 175.82

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Solution

The fourth proportional to 381.51, 571.95 and 175.82 is: 263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.51 : 571.95 = 175.82 : x
  2. Step 2: Convert to fraction form
    381.51/571.95 = 175.82/x
  3. Step 3: Cross multiply
    381.51x = 571.95 × 175.82
  4. Step 4: Simplify right side
    381.51x = 100,557.39
  5. Step 5: Solve for x
    x = 100,557.39/381.51
  6. Step 6: Final answer
    x = 263.58

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