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Finding the Fourth Proportional to 263.50, 395.01 and 101.08

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Solution

The fourth proportional to 263.50, 395.01 and 101.08 is: 151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.50 : 395.01 = 101.08 : x
  2. Step 2: Convert to fraction form
    263.50/395.01 = 101.08/x
  3. Step 3: Cross multiply
    263.50x = 395.01 × 101.08
  4. Step 4: Simplify right side
    263.50x = 39,927.61
  5. Step 5: Solve for x
    x = 39,927.61/263.50
  6. Step 6: Final answer
    x = 151.53

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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.