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Finding the Fourth Proportional to 228.20, 314.81 and 166

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Solution

The fourth proportional to 228.20, 314.81 and 166 is: 229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.20 : 314.81 = 166 : x
  2. Step 2: Convert to fraction form
    228.20/314.81 = 166/x
  3. Step 3: Cross multiply
    228.20x = 314.81 × 166
  4. Step 4: Simplify right side
    228.20x = 52,257.63
  5. Step 5: Solve for x
    x = 52,257.63/228.20
  6. Step 6: Final answer
    x = 229.00

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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.