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Finding the Fourth Proportional to 178.23, 245.89 and 116.12

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Solution

The fourth proportional to 178.23, 245.89 and 116.12 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.23 : 245.89 = 116.12 : x
  2. Step 2: Convert to fraction form
    178.23/245.89 = 116.12/x
  3. Step 3: Cross multiply
    178.23x = 245.89 × 116.12
  4. Step 4: Simplify right side
    178.23x = 28,551.37
  5. Step 5: Solve for x
    x = 28,551.37/178.23
  6. Step 6: Final answer
    x = 160.19

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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.