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Finding the Fourth Proportional to 150.95, 208.25 and 101.84

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Solution

The fourth proportional to 150.95, 208.25 and 101.84 is: 140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.95 : 208.25 = 101.84 : x
  2. Step 2: Convert to fraction form
    150.95/208.25 = 101.84/x
  3. Step 3: Cross multiply
    150.95x = 208.25 × 101.84
  4. Step 4: Simplify right side
    150.95x = 21,207.67
  5. Step 5: Solve for x
    x = 21,207.67/150.95
  6. Step 6: Final answer
    x = 140.49

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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.