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Finding the Fourth Proportional to 263.78, 392.55 and 254.06

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Solution

The fourth proportional to 263.78, 392.55 and 254.06 is: 378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.78 : 392.55 = 254.06 : x
  2. Step 2: Convert to fraction form
    263.78/392.55 = 254.06/x
  3. Step 3: Cross multiply
    263.78x = 392.55 × 254.06
  4. Step 4: Simplify right side
    263.78x = 99,731.25
  5. Step 5: Solve for x
    x = 99,731.25/263.78
  6. Step 6: Final answer
    x = 378.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.