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Finding the Fourth Proportional to 243.94, 365.83 and 89.83

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Solution

The fourth proportional to 243.94, 365.83 and 89.83 is: 134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.94 : 365.83 = 89.83 : x
  2. Step 2: Convert to fraction form
    243.94/365.83 = 89.83/x
  3. Step 3: Cross multiply
    243.94x = 365.83 × 89.83
  4. Step 4: Simplify right side
    243.94x = 32,862.51
  5. Step 5: Solve for x
    x = 32,862.51/243.94
  6. Step 6: Final answer
    x = 134.72

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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.