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Finding the Fourth Proportional to 263.09, 394.58 and 118.77

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Solution

The fourth proportional to 263.09, 394.58 and 118.77 is: 178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.09 : 394.58 = 118.77 : x
  2. Step 2: Convert to fraction form
    263.09/394.58 = 118.77/x
  3. Step 3: Cross multiply
    263.09x = 394.58 × 118.77
  4. Step 4: Simplify right side
    263.09x = 46,864.56
  5. Step 5: Solve for x
    x = 46,864.56/263.09
  6. Step 6: Final answer
    x = 178.13

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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.