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Finding the Fourth Proportional to 150.81, 224.91 and 136.23

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Solution

The fourth proportional to 150.81, 224.91 and 136.23 is: 203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.81 : 224.91 = 136.23 : x
  2. Step 2: Convert to fraction form
    150.81/224.91 = 136.23/x
  3. Step 3: Cross multiply
    150.81x = 224.91 × 136.23
  4. Step 4: Simplify right side
    150.81x = 30,638.65
  5. Step 5: Solve for x
    x = 30,638.65/150.81
  6. Step 6: Final answer
    x = 203.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.