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Finding the Fourth Proportional to 178.30, 246.10 and 166.14

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Solution

The fourth proportional to 178.30, 246.10 and 166.14 is: 229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.30 : 246.10 = 166.14 : x
  2. Step 2: Convert to fraction form
    178.30/246.10 = 166.14/x
  3. Step 3: Cross multiply
    178.30x = 246.10 × 166.14
  4. Step 4: Simplify right side
    178.30x = 40,887.05
  5. Step 5: Solve for x
    x = 40,887.05/178.30
  6. Step 6: Final answer
    x = 229.32

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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.