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Finding the Fourth Proportional to 150.01, 206.81 and 147.96

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Solution

The fourth proportional to 150.01, 206.81 and 147.96 is: 203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.01 : 206.81 = 147.96 : x
  2. Step 2: Convert to fraction form
    150.01/206.81 = 147.96/x
  3. Step 3: Cross multiply
    150.01x = 206.81 × 147.96
  4. Step 4: Simplify right side
    150.01x = 30,599.61
  5. Step 5: Solve for x
    x = 30,599.61/150.01
  6. Step 6: Final answer
    x = 203.98

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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.