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Finding the Fourth Proportional to 277.64, 380.36 and 267.25

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Solution

The fourth proportional to 277.64, 380.36 and 267.25 is: 366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.64 : 380.36 = 267.25 : x
  2. Step 2: Convert to fraction form
    277.64/380.36 = 267.25/x
  3. Step 3: Cross multiply
    277.64x = 380.36 × 267.25
  4. Step 4: Simplify right side
    277.64x = 101,652.16
  5. Step 5: Solve for x
    x = 101,652.16/277.64
  6. Step 6: Final answer
    x = 366.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.