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Finding the Fourth Proportional to 277.14, 415.77 and 84.76

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Solution

The fourth proportional to 277.14, 415.77 and 84.76 is: 127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.14 : 415.77 = 84.76 : x
  2. Step 2: Convert to fraction form
    277.14/415.77 = 84.76/x
  3. Step 3: Cross multiply
    277.14x = 415.77 × 84.76
  4. Step 4: Simplify right side
    277.14x = 35,240.67
  5. Step 5: Solve for x
    x = 35,240.67/277.14
  6. Step 6: Final answer
    x = 127.16

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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.