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Finding the Fourth Proportional to 150.04, 206.82 and 106.30

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Solution

The fourth proportional to 150.04, 206.82 and 106.30 is: 146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.04 : 206.82 = 106.30 : x
  2. Step 2: Convert to fraction form
    150.04/206.82 = 106.30/x
  3. Step 3: Cross multiply
    150.04x = 206.82 × 106.30
  4. Step 4: Simplify right side
    150.04x = 21,984.97
  5. Step 5: Solve for x
    x = 21,984.97/150.04
  6. Step 6: Final answer
    x = 146.53

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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.