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Finding the Fourth Proportional to 237.81, 356.43 and 135.15

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Solution

The fourth proportional to 237.81, 356.43 and 135.15 is: 202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.81 : 356.43 = 135.15 : x
  2. Step 2: Convert to fraction form
    237.81/356.43 = 135.15/x
  3. Step 3: Cross multiply
    237.81x = 356.43 × 135.15
  4. Step 4: Simplify right side
    237.81x = 48,171.51
  5. Step 5: Solve for x
    x = 48,171.51/237.81
  6. Step 6: Final answer
    x = 202.56

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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.