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Finding the Fourth Proportional to 150.04, 224.61 and 137.17

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Solution

The fourth proportional to 150.04, 224.61 and 137.17 is: 205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.04 : 224.61 = 137.17 : x
  2. Step 2: Convert to fraction form
    150.04/224.61 = 137.17/x
  3. Step 3: Cross multiply
    150.04x = 224.61 × 137.17
  4. Step 4: Simplify right side
    150.04x = 30,809.75
  5. Step 5: Solve for x
    x = 30,809.75/150.04
  6. Step 6: Final answer
    x = 205.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.