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Finding the Fourth Proportional to 277.24, 415.98 and 133.06

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Solution

The fourth proportional to 277.24, 415.98 and 133.06 is: 199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.24 : 415.98 = 133.06 : x
  2. Step 2: Convert to fraction form
    277.24/415.98 = 133.06/x
  3. Step 3: Cross multiply
    277.24x = 415.98 × 133.06
  4. Step 4: Simplify right side
    277.24x = 55,350.30
  5. Step 5: Solve for x
    x = 55,350.30/277.24
  6. Step 6: Final answer
    x = 199.65

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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.