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Finding the Fourth Proportional to 150.38, 207.62 and 103.84

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Solution

The fourth proportional to 150.38, 207.62 and 103.84 is: 143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.38 : 207.62 = 103.84 : x
  2. Step 2: Convert to fraction form
    150.38/207.62 = 103.84/x
  3. Step 3: Cross multiply
    150.38x = 207.62 × 103.84
  4. Step 4: Simplify right side
    150.38x = 21,559.26
  5. Step 5: Solve for x
    x = 21,559.26/150.38
  6. Step 6: Final answer
    x = 143.37

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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.