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Finding the Fourth Proportional to 178.42, 246.01 and 166.12

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Solution

The fourth proportional to 178.42, 246.01 and 166.12 is: 229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.42 : 246.01 = 166.12 : x
  2. Step 2: Convert to fraction form
    178.42/246.01 = 166.12/x
  3. Step 3: Cross multiply
    178.42x = 246.01 × 166.12
  4. Step 4: Simplify right side
    178.42x = 40,867.18
  5. Step 5: Solve for x
    x = 40,867.18/178.42
  6. Step 6: Final answer
    x = 229.05

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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.