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Finding the Fourth Proportional to 150.46, 208.07 and 147.72

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Solution

The fourth proportional to 150.46, 208.07 and 147.72 is: 204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.46 : 208.07 = 147.72 : x
  2. Step 2: Convert to fraction form
    150.46/208.07 = 147.72/x
  3. Step 3: Cross multiply
    150.46x = 208.07 × 147.72
  4. Step 4: Simplify right side
    150.46x = 30,736.70
  5. Step 5: Solve for x
    x = 30,736.70/150.46
  6. Step 6: Final answer
    x = 204.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.