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Finding the Fourth Proportional to 380.66, 571.00 and 106.77

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Solution

The fourth proportional to 380.66, 571.00 and 106.77 is: 160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.66 : 571.00 = 106.77 : x
  2. Step 2: Convert to fraction form
    380.66/571.00 = 106.77/x
  3. Step 3: Cross multiply
    380.66x = 571.00 × 106.77
  4. Step 4: Simplify right side
    380.66x = 60,965.40
  5. Step 5: Solve for x
    x = 60,965.40/380.66
  6. Step 6: Final answer
    x = 160.16

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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.