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Finding the Fourth Proportional to 150.69, 206.80 and 146.81

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Solution

The fourth proportional to 150.69, 206.80 and 146.81 is: 201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.69 : 206.80 = 146.81 : x
  2. Step 2: Convert to fraction form
    150.69/206.80 = 146.81/x
  3. Step 3: Cross multiply
    150.69x = 206.80 × 146.81
  4. Step 4: Simplify right side
    150.69x = 30,360.31
  5. Step 5: Solve for x
    x = 30,360.31/150.69
  6. Step 6: Final answer
    x = 201.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.