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Finding the Fourth Proportional to 286.02, 394.73 and 174.02

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Solution

The fourth proportional to 286.02, 394.73 and 174.02 is: 240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.02 : 394.73 = 174.02 : x
  2. Step 2: Convert to fraction form
    286.02/394.73 = 174.02/x
  3. Step 3: Cross multiply
    286.02x = 394.73 × 174.02
  4. Step 4: Simplify right side
    286.02x = 68,688.07
  5. Step 5: Solve for x
    x = 68,688.07/286.02
  6. Step 6: Final answer
    x = 240.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.