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Finding the Fourth Proportional to 178.34, 246.03 and 103.64

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Solution

The fourth proportional to 178.34, 246.03 and 103.64 is: 142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.34 : 246.03 = 103.64 : x
  2. Step 2: Convert to fraction form
    178.34/246.03 = 103.64/x
  3. Step 3: Cross multiply
    178.34x = 246.03 × 103.64
  4. Step 4: Simplify right side
    178.34x = 25,497.32
  5. Step 5: Solve for x
    x = 25,497.32/178.34
  6. Step 6: Final answer
    x = 142.97

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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.