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Finding the Fourth Proportional to 228.87, 342.97 and 170.82

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Solution

The fourth proportional to 228.87, 342.97 and 170.82 is: 255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.87 : 342.97 = 170.82 : x
  2. Step 2: Convert to fraction form
    228.87/342.97 = 170.82/x
  3. Step 3: Cross multiply
    228.87x = 342.97 × 170.82
  4. Step 4: Simplify right side
    228.87x = 58,585.71
  5. Step 5: Solve for x
    x = 58,585.71/228.87
  6. Step 6: Final answer
    x = 255.98

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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.