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Finding the Fourth Proportional to 140.70, 210.75 and 135.66

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Solution

The fourth proportional to 140.70, 210.75 and 135.66 is: 203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.70 : 210.75 = 135.66 : x
  2. Step 2: Convert to fraction form
    140.70/210.75 = 135.66/x
  3. Step 3: Cross multiply
    140.70x = 210.75 × 135.66
  4. Step 4: Simplify right side
    140.70x = 28,589.29
  5. Step 5: Solve for x
    x = 28,589.29/140.70
  6. Step 6: Final answer
    x = 203.20

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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.