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Finding the Fourth Proportional to 164.03, 224.88 and 161.10

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Solution

The fourth proportional to 164.03, 224.88 and 161.10 is: 220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.03 : 224.88 = 161.10 : x
  2. Step 2: Convert to fraction form
    164.03/224.88 = 161.10/x
  3. Step 3: Cross multiply
    164.03x = 224.88 × 161.10
  4. Step 4: Simplify right side
    164.03x = 36,228.29
  5. Step 5: Solve for x
    x = 36,228.29/164.03
  6. Step 6: Final answer
    x = 220.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.