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Finding the Fourth Proportional to 243.21, 364.94 and 135.06

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Solution

The fourth proportional to 243.21, 364.94 and 135.06 is: 202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.21 : 364.94 = 135.06 : x
  2. Step 2: Convert to fraction form
    243.21/364.94 = 135.06/x
  3. Step 3: Cross multiply
    243.21x = 364.94 × 135.06
  4. Step 4: Simplify right side
    243.21x = 49,288.80
  5. Step 5: Solve for x
    x = 49,288.80/243.21
  6. Step 6: Final answer
    x = 202.66

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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.