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Finding the Fourth Proportional to 263.60, 394.76 and 177.84

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Solution

The fourth proportional to 263.60, 394.76 and 177.84 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.60 : 394.76 = 177.84 : x
  2. Step 2: Convert to fraction form
    263.60/394.76 = 177.84/x
  3. Step 3: Cross multiply
    263.60x = 394.76 × 177.84
  4. Step 4: Simplify right side
    263.60x = 70,204.12
  5. Step 5: Solve for x
    x = 70,204.12/263.60
  6. Step 6: Final answer
    x = 266.33

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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.