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Finding the Fourth Proportional to 178.36, 246.21 and 120.17

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Solution

The fourth proportional to 178.36, 246.21 and 120.17 is: 165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.36 : 246.21 = 120.17 : x
  2. Step 2: Convert to fraction form
    178.36/246.21 = 120.17/x
  3. Step 3: Cross multiply
    178.36x = 246.21 × 120.17
  4. Step 4: Simplify right side
    178.36x = 29,587.67
  5. Step 5: Solve for x
    x = 29,587.67/178.36
  6. Step 6: Final answer
    x = 165.89

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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.