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Finding the Fourth Proportional to 203.89, 305.77 and 59.57

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Solution

The fourth proportional to 203.89, 305.77 and 59.57 is: 89.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.89 : 305.77 = 59.57 : x
  2. Step 2: Convert to fraction form
    203.89/305.77 = 59.57/x
  3. Step 3: Cross multiply
    203.89x = 305.77 × 59.57
  4. Step 4: Simplify right side
    203.89x = 18,214.72
  5. Step 5: Solve for x
    x = 18,214.72/203.89
  6. Step 6: Final answer
    x = 89.34

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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.