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Finding the Fourth Proportional to 378.02, 522.13 and 267.98

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Solution

The fourth proportional to 378.02, 522.13 and 267.98 is: 370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.02 : 522.13 = 267.98 : x
  2. Step 2: Convert to fraction form
    378.02/522.13 = 267.98/x
  3. Step 3: Cross multiply
    378.02x = 522.13 × 267.98
  4. Step 4: Simplify right side
    378.02x = 139,920.40
  5. Step 5: Solve for x
    x = 139,920.40/378.02
  6. Step 6: Final answer
    x = 370.14

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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.