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Finding the Fourth Proportional to 286.84, 395.74 and 176.24

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Solution

The fourth proportional to 286.84, 395.74 and 176.24 is: 243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.84 : 395.74 = 176.24 : x
  2. Step 2: Convert to fraction form
    286.84/395.74 = 176.24/x
  3. Step 3: Cross multiply
    286.84x = 395.74 × 176.24
  4. Step 4: Simplify right side
    286.84x = 69,745.22
  5. Step 5: Solve for x
    x = 69,745.22/286.84
  6. Step 6: Final answer
    x = 243.15

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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.