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Finding the Fourth Proportional to 292.35, 401.10 and 267.87

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Solution

The fourth proportional to 292.35, 401.10 and 267.87 is: 367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.35 : 401.10 = 267.87 : x
  2. Step 2: Convert to fraction form
    292.35/401.10 = 267.87/x
  3. Step 3: Cross multiply
    292.35x = 401.10 × 267.87
  4. Step 4: Simplify right side
    292.35x = 107,442.66
  5. Step 5: Solve for x
    x = 107,442.66/292.35
  6. Step 6: Final answer
    x = 367.51

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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.