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Finding the Fourth Proportional to 228.88, 316.26 and 166.90

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Solution

The fourth proportional to 228.88, 316.26 and 166.90 is: 230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.88 : 316.26 = 166.90 : x
  2. Step 2: Convert to fraction form
    228.88/316.26 = 166.90/x
  3. Step 3: Cross multiply
    228.88x = 316.26 × 166.90
  4. Step 4: Simplify right side
    228.88x = 52,783.79
  5. Step 5: Solve for x
    x = 52,783.79/228.88
  6. Step 6: Final answer
    x = 230.62

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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.