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Finding the Fourth Proportional to 150.89, 208.13 and 145.42

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Solution

The fourth proportional to 150.89, 208.13 and 145.42 is: 200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.89 : 208.13 = 145.42 : x
  2. Step 2: Convert to fraction form
    150.89/208.13 = 145.42/x
  3. Step 3: Cross multiply
    150.89x = 208.13 × 145.42
  4. Step 4: Simplify right side
    150.89x = 30,265.02
  5. Step 5: Solve for x
    x = 30,265.02/150.89
  6. Step 6: Final answer
    x = 200.58

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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.