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Finding the Fourth Proportional to 178.36, 246.02 and 116.16

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Solution

The fourth proportional to 178.36, 246.02 and 116.16 is: 160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.36 : 246.02 = 116.16 : x
  2. Step 2: Convert to fraction form
    178.36/246.02 = 116.16/x
  3. Step 3: Cross multiply
    178.36x = 246.02 × 116.16
  4. Step 4: Simplify right side
    178.36x = 28,577.68
  5. Step 5: Solve for x
    x = 28,577.68/178.36
  6. Step 6: Final answer
    x = 160.22

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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.