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Finding the Fourth Proportional to 277.10, 415.08 and 185.84

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Solution

The fourth proportional to 277.10, 415.08 and 185.84 is: 278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.10 : 415.08 = 185.84 : x
  2. Step 2: Convert to fraction form
    277.10/415.08 = 185.84/x
  3. Step 3: Cross multiply
    277.10x = 415.08 × 185.84
  4. Step 4: Simplify right side
    277.10x = 77,138.47
  5. Step 5: Solve for x
    x = 77,138.47/277.10
  6. Step 6: Final answer
    x = 278.38

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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.