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Finding the Fourth Proportional to 178.18, 245.82 and 116.09

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Solution

The fourth proportional to 178.18, 245.82 and 116.09 is: 160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.18 : 245.82 = 116.09 : x
  2. Step 2: Convert to fraction form
    178.18/245.82 = 116.09/x
  3. Step 3: Cross multiply
    178.18x = 245.82 × 116.09
  4. Step 4: Simplify right side
    178.18x = 28,536.01
  5. Step 5: Solve for x
    x = 28,536.01/178.18
  6. Step 6: Final answer
    x = 160.15

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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.