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Finding the Fourth Proportional to 150.11, 225.95 and 135.96

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Solution

The fourth proportional to 150.11, 225.95 and 135.96 is: 204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.11 : 225.95 = 135.96 : x
  2. Step 2: Convert to fraction form
    150.11/225.95 = 135.96/x
  3. Step 3: Cross multiply
    150.11x = 225.95 × 135.96
  4. Step 4: Simplify right side
    150.11x = 30,718.63
  5. Step 5: Solve for x
    x = 30,718.63/150.11
  6. Step 6: Final answer
    x = 204.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.