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Finding the Fourth Proportional to 150.22, 207.21 and 108.82

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Solution

The fourth proportional to 150.22, 207.21 and 108.82 is: 150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.22 : 207.21 = 108.82 : x
  2. Step 2: Convert to fraction form
    150.22/207.21 = 108.82/x
  3. Step 3: Cross multiply
    150.22x = 207.21 × 108.82
  4. Step 4: Simplify right side
    150.22x = 22,548.59
  5. Step 5: Solve for x
    x = 22,548.59/150.22
  6. Step 6: Final answer
    x = 150.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.