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Finding the Fourth Proportional to 392.19, 540.94 and 267.66

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Solution

The fourth proportional to 392.19, 540.94 and 267.66 is: 369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.19 : 540.94 = 267.66 : x
  2. Step 2: Convert to fraction form
    392.19/540.94 = 267.66/x
  3. Step 3: Cross multiply
    392.19x = 540.94 × 267.66
  4. Step 4: Simplify right side
    392.19x = 144,788.00
  5. Step 5: Solve for x
    x = 144,788.00/392.19
  6. Step 6: Final answer
    x = 369.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.