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Finding the Fourth Proportional to 146.53, 202.26 and 130.06

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Solution

The fourth proportional to 146.53, 202.26 and 130.06 is: 179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.53 : 202.26 = 130.06 : x
  2. Step 2: Convert to fraction form
    146.53/202.26 = 130.06/x
  3. Step 3: Cross multiply
    146.53x = 202.26 × 130.06
  4. Step 4: Simplify right side
    146.53x = 26,305.94
  5. Step 5: Solve for x
    x = 26,305.94/146.53
  6. Step 6: Final answer
    x = 179.53

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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.