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Finding the Fourth Proportional to 141.84, 213.66 and 134.28

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Solution

The fourth proportional to 141.84, 213.66 and 134.28 is: 202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 213.66 = 134.28 : x
  2. Step 2: Convert to fraction form
    141.84/213.66 = 134.28/x
  3. Step 3: Cross multiply
    141.84x = 213.66 × 134.28
  4. Step 4: Simplify right side
    141.84x = 28,690.26
  5. Step 5: Solve for x
    x = 28,690.26/141.84
  6. Step 6: Final answer
    x = 202.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.