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Finding the Fourth Proportional to 238.16, 357.01 and 135.41

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Solution

The fourth proportional to 238.16, 357.01 and 135.41 is: 202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.16 : 357.01 = 135.41 : x
  2. Step 2: Convert to fraction form
    238.16/357.01 = 135.41/x
  3. Step 3: Cross multiply
    238.16x = 357.01 × 135.41
  4. Step 4: Simplify right side
    238.16x = 48,340.60
  5. Step 5: Solve for x
    x = 48,340.60/238.16
  6. Step 6: Final answer
    x = 202.97

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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.