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Finding the Fourth Proportional to 150.21, 224.64 and 111.60

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Solution

The fourth proportional to 150.21, 224.64 and 111.60 is: 166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.21 : 224.64 = 111.60 : x
  2. Step 2: Convert to fraction form
    150.21/224.64 = 111.60/x
  3. Step 3: Cross multiply
    150.21x = 224.64 × 111.60
  4. Step 4: Simplify right side
    150.21x = 25,069.82
  5. Step 5: Solve for x
    x = 25,069.82/150.21
  6. Step 6: Final answer
    x = 166.90

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Why These Related Problems?

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