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Finding the Fourth Proportional to 178.64, 246.34 and 137.17

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Solution

The fourth proportional to 178.64, 246.34 and 137.17 is: 189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.64 : 246.34 = 137.17 : x
  2. Step 2: Convert to fraction form
    178.64/246.34 = 137.17/x
  3. Step 3: Cross multiply
    178.64x = 246.34 × 137.17
  4. Step 4: Simplify right side
    178.64x = 33,790.46
  5. Step 5: Solve for x
    x = 33,790.46/178.64
  6. Step 6: Final answer
    x = 189.15

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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.