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Finding the Fourth Proportional to 292.57, 402.54 and 255.82

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Solution

The fourth proportional to 292.57, 402.54 and 255.82 is: 351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.57 : 402.54 = 255.82 : x
  2. Step 2: Convert to fraction form
    292.57/402.54 = 255.82/x
  3. Step 3: Cross multiply
    292.57x = 402.54 × 255.82
  4. Step 4: Simplify right side
    292.57x = 102,977.78
  5. Step 5: Solve for x
    x = 102,977.78/292.57
  6. Step 6: Final answer
    x = 351.98

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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.