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Finding the Fourth Proportional to 238.03, 357.10 and 135.36

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Solution

The fourth proportional to 238.03, 357.10 and 135.36 is: 203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.03 : 357.10 = 135.36 : x
  2. Step 2: Convert to fraction form
    238.03/357.10 = 135.36/x
  3. Step 3: Cross multiply
    238.03x = 357.10 × 135.36
  4. Step 4: Simplify right side
    238.03x = 48,337.61
  5. Step 5: Solve for x
    x = 48,337.61/238.03
  6. Step 6: Final answer
    x = 203.07

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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.