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Finding the Fourth Proportional to 571.41, 857.12 and 138.56

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Solution

The fourth proportional to 571.41, 857.12 and 138.56 is: 207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.41 : 857.12 = 138.56 : x
  2. Step 2: Convert to fraction form
    571.41/857.12 = 138.56/x
  3. Step 3: Cross multiply
    571.41x = 857.12 × 138.56
  4. Step 4: Simplify right side
    571.41x = 118,764.00
  5. Step 5: Solve for x
    x = 118,764.00/571.41
  6. Step 6: Final answer
    x = 207.84

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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.