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Finding the Fourth Proportional to 140.24, 210.23 and 133.40

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Solution

The fourth proportional to 140.24, 210.23 and 133.40 is: 199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.24 : 210.23 = 133.40 : x
  2. Step 2: Convert to fraction form
    140.24/210.23 = 133.40/x
  3. Step 3: Cross multiply
    140.24x = 210.23 × 133.40
  4. Step 4: Simplify right side
    140.24x = 28,044.68
  5. Step 5: Solve for x
    x = 28,044.68/140.24
  6. Step 6: Final answer
    x = 199.98

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