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Finding the Fourth Proportional to 150.03, 206.01 and 133.65

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Solution

The fourth proportional to 150.03, 206.01 and 133.65 is: 183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.03 : 206.01 = 133.65 : x
  2. Step 2: Convert to fraction form
    150.03/206.01 = 133.65/x
  3. Step 3: Cross multiply
    150.03x = 206.01 × 133.65
  4. Step 4: Simplify right side
    150.03x = 27,533.24
  5. Step 5: Solve for x
    x = 27,533.24/150.03
  6. Step 6: Final answer
    x = 183.52

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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.