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Finding the Fourth Proportional to 277.80, 385.14 and 271.32

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Solution

The fourth proportional to 277.80, 385.14 and 271.32 is: 376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.80 : 385.14 = 271.32 : x
  2. Step 2: Convert to fraction form
    277.80/385.14 = 271.32/x
  3. Step 3: Cross multiply
    277.80x = 385.14 × 271.32
  4. Step 4: Simplify right side
    277.80x = 104,496.18
  5. Step 5: Solve for x
    x = 104,496.18/277.80
  6. Step 6: Final answer
    x = 376.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.