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Finding the Fourth Proportional to 227.54, 340.59 and 150.32

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Solution

The fourth proportional to 227.54, 340.59 and 150.32 is: 225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.54 : 340.59 = 150.32 : x
  2. Step 2: Convert to fraction form
    227.54/340.59 = 150.32/x
  3. Step 3: Cross multiply
    227.54x = 340.59 × 150.32
  4. Step 4: Simplify right side
    227.54x = 51,197.49
  5. Step 5: Solve for x
    x = 51,197.49/227.54
  6. Step 6: Final answer
    x = 225.00

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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.