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Finding the Fourth Proportional to 263.75, 395.55 and 177.03

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Solution

The fourth proportional to 263.75, 395.55 and 177.03 is: 265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.75 : 395.55 = 177.03 : x
  2. Step 2: Convert to fraction form
    263.75/395.55 = 177.03/x
  3. Step 3: Cross multiply
    263.75x = 395.55 × 177.03
  4. Step 4: Simplify right side
    263.75x = 70,024.22
  5. Step 5: Solve for x
    x = 70,024.22/263.75
  6. Step 6: Final answer
    x = 265.50

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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.