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Finding the Fourth Proportional to 228.66, 342.99 and 106.78

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Solution

The fourth proportional to 228.66, 342.99 and 106.78 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.66 : 342.99 = 106.78 : x
  2. Step 2: Convert to fraction form
    228.66/342.99 = 106.78/x
  3. Step 3: Cross multiply
    228.66x = 342.99 × 106.78
  4. Step 4: Simplify right side
    228.66x = 36,624.47
  5. Step 5: Solve for x
    x = 36,624.47/228.66
  6. Step 6: Final answer
    x = 160.17

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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.