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Finding the Fourth Proportional to 178.39, 246.18 and 120.07

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Solution

The fourth proportional to 178.39, 246.18 and 120.07 is: 165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.39 : 246.18 = 120.07 : x
  2. Step 2: Convert to fraction form
    178.39/246.18 = 120.07/x
  3. Step 3: Cross multiply
    178.39x = 246.18 × 120.07
  4. Step 4: Simplify right side
    178.39x = 29,558.83
  5. Step 5: Solve for x
    x = 29,558.83/178.39
  6. Step 6: Final answer
    x = 165.70

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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.