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Finding the Fourth Proportional to 277.13, 415.70 and 132.82

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Solution

The fourth proportional to 277.13, 415.70 and 132.82 is: 199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.13 : 415.70 = 132.82 : x
  2. Step 2: Convert to fraction form
    277.13/415.70 = 132.82/x
  3. Step 3: Cross multiply
    277.13x = 415.70 × 132.82
  4. Step 4: Simplify right side
    277.13x = 55,212.07
  5. Step 5: Solve for x
    x = 55,212.07/277.13
  6. Step 6: Final answer
    x = 199.23

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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.