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Finding the Fourth Proportional to 147.47, 202.38 and 133.62

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Solution

The fourth proportional to 147.47, 202.38 and 133.62 is: 183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.47 : 202.38 = 133.62 : x
  2. Step 2: Convert to fraction form
    147.47/202.38 = 133.62/x
  3. Step 3: Cross multiply
    147.47x = 202.38 × 133.62
  4. Step 4: Simplify right side
    147.47x = 27,042.02
  5. Step 5: Solve for x
    x = 27,042.02/147.47
  6. Step 6: Final answer
    x = 183.37

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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.