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Finding the Fourth Proportional to 133.21, 200.60 and 116.29

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Solution

The fourth proportional to 133.21, 200.60 and 116.29 is: 175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.21 : 200.60 = 116.29 : x
  2. Step 2: Convert to fraction form
    133.21/200.60 = 116.29/x
  3. Step 3: Cross multiply
    133.21x = 200.60 × 116.29
  4. Step 4: Simplify right side
    133.21x = 23,328.53
  5. Step 5: Solve for x
    x = 23,328.53/133.21
  6. Step 6: Final answer
    x = 175.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.