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Finding the Fourth Proportional to 147.42, 202.14 and 133.56

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Solution

The fourth proportional to 147.42, 202.14 and 133.56 is: 183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 202.14 = 133.56 : x
  2. Step 2: Convert to fraction form
    147.42/202.14 = 133.56/x
  3. Step 3: Cross multiply
    147.42x = 202.14 × 133.56
  4. Step 4: Simplify right side
    147.42x = 26,997.82
  5. Step 5: Solve for x
    x = 26,997.82/147.42
  6. Step 6: Final answer
    x = 183.14

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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.