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Finding the Fourth Proportional to 378.90, 522 and 268.16

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Solution

The fourth proportional to 378.90, 522 and 268.16 is: 369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.90 : 522 = 268.16 : x
  2. Step 2: Convert to fraction form
    378.90/522 = 268.16/x
  3. Step 3: Cross multiply
    378.90x = 522 × 268.16
  4. Step 4: Simplify right side
    378.90x = 139,976.91
  5. Step 5: Solve for x
    x = 139,976.91/378.90
  6. Step 6: Final answer
    x = 369.43

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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.