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Finding the Fourth Proportional to 150.78, 208.12 and 101.64

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Solution

The fourth proportional to 150.78, 208.12 and 101.64 is: 140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.78 : 208.12 = 101.64 : x
  2. Step 2: Convert to fraction form
    150.78/208.12 = 101.64/x
  3. Step 3: Cross multiply
    150.78x = 208.12 × 101.64
  4. Step 4: Simplify right side
    150.78x = 21,153.32
  5. Step 5: Solve for x
    x = 21,153.32/150.78
  6. Step 6: Final answer
    x = 140.29

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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.