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Finding the Fourth Proportional to 141.26, 212.07 and 134.72

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Solution

The fourth proportional to 141.26, 212.07 and 134.72 is: 202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.26 : 212.07 = 134.72 : x
  2. Step 2: Convert to fraction form
    141.26/212.07 = 134.72/x
  3. Step 3: Cross multiply
    141.26x = 212.07 × 134.72
  4. Step 4: Simplify right side
    141.26x = 28,570.07
  5. Step 5: Solve for x
    x = 28,570.07/141.26
  6. Step 6: Final answer
    x = 202.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.