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Finding the Fourth Proportional to 133.98, 200.10 and 97.80

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Solution

The fourth proportional to 133.98, 200.10 and 97.80 is: 146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.98 : 200.10 = 97.80 : x
  2. Step 2: Convert to fraction form
    133.98/200.10 = 97.80/x
  3. Step 3: Cross multiply
    133.98x = 200.10 × 97.80
  4. Step 4: Simplify right side
    133.98x = 19,569.78
  5. Step 5: Solve for x
    x = 19,569.78/133.98
  6. Step 6: Final answer
    x = 146.06

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