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Finding the Fourth Proportional to 150.40, 225.20 and 109.60

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Solution

The fourth proportional to 150.40, 225.20 and 109.60 is: 164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.40 : 225.20 = 109.60 : x
  2. Step 2: Convert to fraction form
    150.40/225.20 = 109.60/x
  3. Step 3: Cross multiply
    150.40x = 225.20 × 109.60
  4. Step 4: Simplify right side
    150.40x = 24,681.92
  5. Step 5: Solve for x
    x = 24,681.92/150.40
  6. Step 6: Final answer
    x = 164.11

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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.