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Finding the Fourth Proportional to 150.52, 207.78 and 120.96

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Solution

The fourth proportional to 150.52, 207.78 and 120.96 is: 166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.52 : 207.78 = 120.96 : x
  2. Step 2: Convert to fraction form
    150.52/207.78 = 120.96/x
  3. Step 3: Cross multiply
    150.52x = 207.78 × 120.96
  4. Step 4: Simplify right side
    150.52x = 25,133.07
  5. Step 5: Solve for x
    x = 25,133.07/150.52
  6. Step 6: Final answer
    x = 166.98

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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.