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Finding the Fourth Proportional to 243.25, 364.38 and 202.54

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Solution

The fourth proportional to 243.25, 364.38 and 202.54 is: 303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.25 : 364.38 = 202.54 : x
  2. Step 2: Convert to fraction form
    243.25/364.38 = 202.54/x
  3. Step 3: Cross multiply
    243.25x = 364.38 × 202.54
  4. Step 4: Simplify right side
    243.25x = 73,801.53
  5. Step 5: Solve for x
    x = 73,801.53/243.25
  6. Step 6: Final answer
    x = 303.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.