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Finding the Fourth Proportional to 150.87, 224.98 and 149.50

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Solution

The fourth proportional to 150.87, 224.98 and 149.50 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.87 : 224.98 = 149.50 : x
  2. Step 2: Convert to fraction form
    150.87/224.98 = 149.50/x
  3. Step 3: Cross multiply
    150.87x = 224.98 × 149.50
  4. Step 4: Simplify right side
    150.87x = 33,635.26
  5. Step 5: Solve for x
    x = 33,635.26/150.87
  6. Step 6: Final answer
    x = 222.94

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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.