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Finding the Fourth Proportional to 150.10, 224.55 and 135.70

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Solution

The fourth proportional to 150.10, 224.55 and 135.70 is: 203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.10 : 224.55 = 135.70 : x
  2. Step 2: Convert to fraction form
    150.10/224.55 = 135.70/x
  3. Step 3: Cross multiply
    150.10x = 224.55 × 135.70
  4. Step 4: Simplify right side
    150.10x = 30,471.44
  5. Step 5: Solve for x
    x = 30,471.44/150.10
  6. Step 6: Final answer
    x = 203.01

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