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Finding the Fourth Proportional to 263.58, 363.77 and 145.58

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Solution

The fourth proportional to 263.58, 363.77 and 145.58 is: 200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.58 : 363.77 = 145.58 : x
  2. Step 2: Convert to fraction form
    263.58/363.77 = 145.58/x
  3. Step 3: Cross multiply
    263.58x = 363.77 × 145.58
  4. Step 4: Simplify right side
    263.58x = 52,956.91
  5. Step 5: Solve for x
    x = 52,956.91/263.58
  6. Step 6: Final answer
    x = 200.91

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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.