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Finding the Fourth Proportional to 238.33, 357.64 and 101.37

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Solution

The fourth proportional to 238.33, 357.64 and 101.37 is: 152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.33 : 357.64 = 101.37 : x
  2. Step 2: Convert to fraction form
    238.33/357.64 = 101.37/x
  3. Step 3: Cross multiply
    238.33x = 357.64 × 101.37
  4. Step 4: Simplify right side
    238.33x = 36,253.97
  5. Step 5: Solve for x
    x = 36,253.97/238.33
  6. Step 6: Final answer
    x = 152.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.