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Finding the Fourth Proportional to 263.63, 395.42 and 101.32

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Solution

The fourth proportional to 263.63, 395.42 and 101.32 is: 151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.63 : 395.42 = 101.32 : x
  2. Step 2: Convert to fraction form
    263.63/395.42 = 101.32/x
  3. Step 3: Cross multiply
    263.63x = 395.42 × 101.32
  4. Step 4: Simplify right side
    263.63x = 40,062.46
  5. Step 5: Solve for x
    x = 40,062.46/263.63
  6. Step 6: Final answer
    x = 151.96

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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.