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Finding the Fourth Proportional to 243.14, 364.78 and 135.01

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Solution

The fourth proportional to 243.14, 364.78 and 135.01 is: 202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.14 : 364.78 = 135.01 : x
  2. Step 2: Convert to fraction form
    243.14/364.78 = 135.01/x
  3. Step 3: Cross multiply
    243.14x = 364.78 × 135.01
  4. Step 4: Simplify right side
    243.14x = 49,248.20
  5. Step 5: Solve for x
    x = 49,248.20/243.14
  6. Step 6: Final answer
    x = 202.55

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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.