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Finding the Fourth Proportional to 153.53, 230.01 and 133.01

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Solution

The fourth proportional to 153.53, 230.01 and 133.01 is: 199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.53 : 230.01 = 133.01 : x
  2. Step 2: Convert to fraction form
    153.53/230.01 = 133.01/x
  3. Step 3: Cross multiply
    153.53x = 230.01 × 133.01
  4. Step 4: Simplify right side
    153.53x = 30,593.63
  5. Step 5: Solve for x
    x = 30,593.63/153.53
  6. Step 6: Final answer
    x = 199.27

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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.