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Finding the Fourth Proportional to 147.24, 202.02 and 133.32

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Solution

The fourth proportional to 147.24, 202.02 and 133.32 is: 182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.24 : 202.02 = 133.32 : x
  2. Step 2: Convert to fraction form
    147.24/202.02 = 133.32/x
  3. Step 3: Cross multiply
    147.24x = 202.02 × 133.32
  4. Step 4: Simplify right side
    147.24x = 26,933.31
  5. Step 5: Solve for x
    x = 26,933.31/147.24
  6. Step 6: Final answer
    x = 182.92

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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.