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Finding the Fourth Proportional to 152.10, 227.49 and 135.99

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Solution

The fourth proportional to 152.10, 227.49 and 135.99 is: 203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.10 : 227.49 = 135.99 : x
  2. Step 2: Convert to fraction form
    152.10/227.49 = 135.99/x
  3. Step 3: Cross multiply
    152.10x = 227.49 × 135.99
  4. Step 4: Simplify right side
    152.10x = 30,936.37
  5. Step 5: Solve for x
    x = 30,936.37/152.10
  6. Step 6: Final answer
    x = 203.39

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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.