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Finding the Fourth Proportional to 161.55, 222.80 and 130.28

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Solution

The fourth proportional to 161.55, 222.80 and 130.28 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.55 : 222.80 = 130.28 : x
  2. Step 2: Convert to fraction form
    161.55/222.80 = 130.28/x
  3. Step 3: Cross multiply
    161.55x = 222.80 × 130.28
  4. Step 4: Simplify right side
    161.55x = 29,024.62
  5. Step 5: Solve for x
    x = 29,024.62/161.55
  6. Step 6: Final answer
    x = 179.66

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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.