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Finding the Fourth Proportional to 267.29, 365.69 and 266.14

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Solution

The fourth proportional to 267.29, 365.69 and 266.14 is: 364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.29 : 365.69 = 266.14 : x
  2. Step 2: Convert to fraction form
    267.29/365.69 = 266.14/x
  3. Step 3: Cross multiply
    267.29x = 365.69 × 266.14
  4. Step 4: Simplify right side
    267.29x = 97,322.49
  5. Step 5: Solve for x
    x = 97,322.49/267.29
  6. Step 6: Final answer
    x = 364.10

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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.