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Finding the Fourth Proportional to 265.07, 396.80 and 192.98

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Solution

The fourth proportional to 265.07, 396.80 and 192.98 is: 288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.07 : 396.80 = 192.98 : x
  2. Step 2: Convert to fraction form
    265.07/396.80 = 192.98/x
  3. Step 3: Cross multiply
    265.07x = 396.80 × 192.98
  4. Step 4: Simplify right side
    265.07x = 76,575.21
  5. Step 5: Solve for x
    x = 76,575.21/265.07
  6. Step 6: Final answer
    x = 288.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.