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Finding the Fourth Proportional to 243.57, 365.35 and 203.02

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Solution

The fourth proportional to 243.57, 365.35 and 203.02 is: 304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.57 : 365.35 = 203.02 : x
  2. Step 2: Convert to fraction form
    243.57/365.35 = 203.02/x
  3. Step 3: Cross multiply
    243.57x = 365.35 × 203.02
  4. Step 4: Simplify right side
    243.57x = 74,173.36
  5. Step 5: Solve for x
    x = 74,173.36/243.57
  6. Step 6: Final answer
    x = 304.53

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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.