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Finding the Fourth Proportional to 178.94, 246.80 and 109.00

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Solution

The fourth proportional to 178.94, 246.80 and 109.00 is: 150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.94 : 246.80 = 109.00 : x
  2. Step 2: Convert to fraction form
    178.94/246.80 = 109.00/x
  3. Step 3: Cross multiply
    178.94x = 246.80 × 109.00
  4. Step 4: Simplify right side
    178.94x = 26,900.86
  5. Step 5: Solve for x
    x = 26,900.86/178.94
  6. Step 6: Final answer
    x = 150.34

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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.