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Finding the Fourth Proportional to 286.47, 395.34 and 176.06

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Solution

The fourth proportional to 286.47, 395.34 and 176.06 is: 242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.47 : 395.34 = 176.06 : x
  2. Step 2: Convert to fraction form
    286.47/395.34 = 176.06/x
  3. Step 3: Cross multiply
    286.47x = 395.34 × 176.06
  4. Step 4: Simplify right side
    286.47x = 69,603.56
  5. Step 5: Solve for x
    x = 69,603.56/286.47
  6. Step 6: Final answer
    x = 242.97

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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.