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Finding the Fourth Proportional to 147.36, 202.72 and 133.44

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Solution

The fourth proportional to 147.36, 202.72 and 133.44 is: 183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.36 : 202.72 = 133.44 : x
  2. Step 2: Convert to fraction form
    147.36/202.72 = 133.44/x
  3. Step 3: Cross multiply
    147.36x = 202.72 × 133.44
  4. Step 4: Simplify right side
    147.36x = 27,050.96
  5. Step 5: Solve for x
    x = 27,050.96/147.36
  6. Step 6: Final answer
    x = 183.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.