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Finding the Fourth Proportional to 243.70, 364.93 and 135.37

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Solution

The fourth proportional to 243.70, 364.93 and 135.37 is: 202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.70 : 364.93 = 135.37 : x
  2. Step 2: Convert to fraction form
    243.70/364.93 = 135.37/x
  3. Step 3: Cross multiply
    243.70x = 364.93 × 135.37
  4. Step 4: Simplify right side
    243.70x = 49,400.57
  5. Step 5: Solve for x
    x = 49,400.57/243.70
  6. Step 6: Final answer
    x = 202.71

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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.