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Finding the Fourth Proportional to 150.01, 224.09 and 98.23

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Solution

The fourth proportional to 150.01, 224.09 and 98.23 is: 146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.01 : 224.09 = 98.23 : x
  2. Step 2: Convert to fraction form
    150.01/224.09 = 98.23/x
  3. Step 3: Cross multiply
    150.01x = 224.09 × 98.23
  4. Step 4: Simplify right side
    150.01x = 22,012.36
  5. Step 5: Solve for x
    x = 22,012.36/150.01
  6. Step 6: Final answer
    x = 146.74

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