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Finding the Fourth Proportional to 263.78, 364 and 145.73

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Solution

The fourth proportional to 263.78, 364 and 145.73 is: 201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.78 : 364 = 145.73 : x
  2. Step 2: Convert to fraction form
    263.78/364 = 145.73/x
  3. Step 3: Cross multiply
    263.78x = 364 × 145.73
  4. Step 4: Simplify right side
    263.78x = 53,045.72
  5. Step 5: Solve for x
    x = 53,045.72/263.78
  6. Step 6: Final answer
    x = 201.10

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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.