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Finding the Fourth Proportional to 277.70, 416.61 and 133.38

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Solution

The fourth proportional to 277.70, 416.61 and 133.38 is: 200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.70 : 416.61 = 133.38 : x
  2. Step 2: Convert to fraction form
    277.70/416.61 = 133.38/x
  3. Step 3: Cross multiply
    277.70x = 416.61 × 133.38
  4. Step 4: Simplify right side
    277.70x = 55,567.44
  5. Step 5: Solve for x
    x = 55,567.44/277.70
  6. Step 6: Final answer
    x = 200.10

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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.