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Finding the Fourth Proportional to 201.62, 302.16 and 150.14

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Solution

The fourth proportional to 201.62, 302.16 and 150.14 is: 225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.62 : 302.16 = 150.14 : x
  2. Step 2: Convert to fraction form
    201.62/302.16 = 150.14/x
  3. Step 3: Cross multiply
    201.62x = 302.16 × 150.14
  4. Step 4: Simplify right side
    201.62x = 45,366.30
  5. Step 5: Solve for x
    x = 45,366.30/201.62
  6. Step 6: Final answer
    x = 225.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.