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Finding the Fourth Proportional to 160.94, 222.26 and 130.19

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Solution

The fourth proportional to 160.94, 222.26 and 130.19 is: 179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.94 : 222.26 = 130.19 : x
  2. Step 2: Convert to fraction form
    160.94/222.26 = 130.19/x
  3. Step 3: Cross multiply
    160.94x = 222.26 × 130.19
  4. Step 4: Simplify right side
    160.94x = 28,935.24
  5. Step 5: Solve for x
    x = 28,935.24/160.94
  6. Step 6: Final answer
    x = 179.79

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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.