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Finding the Fourth Proportional to 140.34, 210.23 and 82.38

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Solution

The fourth proportional to 140.34, 210.23 and 82.38 is: 123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.34 : 210.23 = 82.38 : x
  2. Step 2: Convert to fraction form
    140.34/210.23 = 82.38/x
  3. Step 3: Cross multiply
    140.34x = 210.23 × 82.38
  4. Step 4: Simplify right side
    140.34x = 17,318.75
  5. Step 5: Solve for x
    x = 17,318.75/140.34
  6. Step 6: Final answer
    x = 123.41

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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.