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Finding the Fourth Proportional to 238.63, 329.31 and 135.13

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Solution

The fourth proportional to 238.63, 329.31 and 135.13 is: 186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.63 : 329.31 = 135.13 : x
  2. Step 2: Convert to fraction form
    238.63/329.31 = 135.13/x
  3. Step 3: Cross multiply
    238.63x = 329.31 × 135.13
  4. Step 4: Simplify right side
    238.63x = 44,499.66
  5. Step 5: Solve for x
    x = 44,499.66/238.63
  6. Step 6: Final answer
    x = 186.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.