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Finding the Fourth Proportional to 166.14, 228.84 and 152.34

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Solution

The fourth proportional to 166.14, 228.84 and 152.34 is: 209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.14 : 228.84 = 152.34 : x
  2. Step 2: Convert to fraction form
    166.14/228.84 = 152.34/x
  3. Step 3: Cross multiply
    166.14x = 228.84 × 152.34
  4. Step 4: Simplify right side
    166.14x = 34,861.49
  5. Step 5: Solve for x
    x = 34,861.49/166.14
  6. Step 6: Final answer
    x = 209.83

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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.