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Finding the Fourth Proportional to 262.99, 394.49 and 118.71

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Solution

The fourth proportional to 262.99, 394.49 and 118.71 is: 178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.99 : 394.49 = 118.71 : x
  2. Step 2: Convert to fraction form
    262.99/394.49 = 118.71/x
  3. Step 3: Cross multiply
    262.99x = 394.49 × 118.71
  4. Step 4: Simplify right side
    262.99x = 46,827.34
  5. Step 5: Solve for x
    x = 46,827.34/262.99
  6. Step 6: Final answer
    x = 178.06

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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.