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Finding the Fourth Proportional to 140.83, 210.04 and 133.54

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Solution

The fourth proportional to 140.83, 210.04 and 133.54 is: 199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.83 : 210.04 = 133.54 : x
  2. Step 2: Convert to fraction form
    140.83/210.04 = 133.54/x
  3. Step 3: Cross multiply
    140.83x = 210.04 × 133.54
  4. Step 4: Simplify right side
    140.83x = 28,048.74
  5. Step 5: Solve for x
    x = 28,048.74/140.83
  6. Step 6: Final answer
    x = 199.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.