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Finding the Fourth Proportional to 140.23, 210.27 and 82.47

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Solution

The fourth proportional to 140.23, 210.27 and 82.47 is: 123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.23 : 210.27 = 82.47 : x
  2. Step 2: Convert to fraction form
    140.23/210.27 = 82.47/x
  3. Step 3: Cross multiply
    140.23x = 210.27 × 82.47
  4. Step 4: Simplify right side
    140.23x = 17,339.50
  5. Step 5: Solve for x
    x = 17,339.50/140.23
  6. Step 6: Final answer
    x = 123.65

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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.