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Finding the Fourth Proportional to 262.98, 394.65 and 118.80

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Solution

The fourth proportional to 262.98, 394.65 and 118.80 is: 178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.98 : 394.65 = 118.80 : x
  2. Step 2: Convert to fraction form
    262.98/394.65 = 118.80/x
  3. Step 3: Cross multiply
    262.98x = 394.65 × 118.80
  4. Step 4: Simplify right side
    262.98x = 46,884.42
  5. Step 5: Solve for x
    x = 46,884.42/262.98
  6. Step 6: Final answer
    x = 178.28

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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.