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Finding the Fourth Proportional to 146.36, 202.88 and 141.32

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Solution

The fourth proportional to 146.36, 202.88 and 141.32 is: 195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.36 : 202.88 = 141.32 : x
  2. Step 2: Convert to fraction form
    146.36/202.88 = 141.32/x
  3. Step 3: Cross multiply
    146.36x = 202.88 × 141.32
  4. Step 4: Simplify right side
    146.36x = 28,669.28
  5. Step 5: Solve for x
    x = 28,669.28/146.36
  6. Step 6: Final answer
    x = 195.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.