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Finding the Fourth Proportional to 228.76, 315.71 and 166.57

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Solution

The fourth proportional to 228.76, 315.71 and 166.57 is: 229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.76 : 315.71 = 166.57 : x
  2. Step 2: Convert to fraction form
    228.76/315.71 = 166.57/x
  3. Step 3: Cross multiply
    228.76x = 315.71 × 166.57
  4. Step 4: Simplify right side
    228.76x = 52,587.81
  5. Step 5: Solve for x
    x = 52,587.81/228.76
  6. Step 6: Final answer
    x = 229.88

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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.