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Finding the Fourth Proportional to 150.30, 206.10 and 150.30

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Solution

The fourth proportional to 150.30, 206.10 and 150.30 is: 206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.30 : 206.10 = 150.30 : x
  2. Step 2: Convert to fraction form
    150.30/206.10 = 150.30/x
  3. Step 3: Cross multiply
    150.30x = 206.10 × 150.30
  4. Step 4: Simplify right side
    150.30x = 30,976.83
  5. Step 5: Solve for x
    x = 30,976.83/150.30
  6. Step 6: Final answer
    x = 206.10

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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.