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Finding the Fourth Proportional to 366.89, 550.35 and 135.77

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Solution

The fourth proportional to 366.89, 550.35 and 135.77 is: 203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.89 : 550.35 = 135.77 : x
  2. Step 2: Convert to fraction form
    366.89/550.35 = 135.77/x
  3. Step 3: Cross multiply
    366.89x = 550.35 × 135.77
  4. Step 4: Simplify right side
    366.89x = 74,718.27
  5. Step 5: Solve for x
    x = 74,718.27/366.89
  6. Step 6: Final answer
    x = 203.66

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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.