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Finding the Fourth Proportional to 243.23, 364.43 and 202.59

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Solution

The fourth proportional to 243.23, 364.43 and 202.59 is: 303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.23 : 364.43 = 202.59 : x
  2. Step 2: Convert to fraction form
    243.23/364.43 = 202.59/x
  3. Step 3: Cross multiply
    243.23x = 364.43 × 202.59
  4. Step 4: Simplify right side
    243.23x = 73,830.38
  5. Step 5: Solve for x
    x = 73,830.38/243.23
  6. Step 6: Final answer
    x = 303.55

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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.