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Finding the Fourth Proportional to 150.41, 224.01 and 148.53

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Solution

The fourth proportional to 150.41, 224.01 and 148.53 is: 221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.41 : 224.01 = 148.53 : x
  2. Step 2: Convert to fraction form
    150.41/224.01 = 148.53/x
  3. Step 3: Cross multiply
    150.41x = 224.01 × 148.53
  4. Step 4: Simplify right side
    150.41x = 33,272.58
  5. Step 5: Solve for x
    x = 33,272.58/150.41
  6. Step 6: Final answer
    x = 221.21

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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.