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Finding the Fourth Proportional to 277.31, 416.13 and 133.04

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Solution

The fourth proportional to 277.31, 416.13 and 133.04 is: 199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.31 : 416.13 = 133.04 : x
  2. Step 2: Convert to fraction form
    277.31/416.13 = 133.04/x
  3. Step 3: Cross multiply
    277.31x = 416.13 × 133.04
  4. Step 4: Simplify right side
    277.31x = 55,359.85
  5. Step 5: Solve for x
    x = 55,359.85/277.31
  6. Step 6: Final answer
    x = 199.64

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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.