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Finding the Fourth Proportional to 164.16, 224.91 and 160.20

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Solution

The fourth proportional to 164.16, 224.91 and 160.20 is: 219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 224.91 = 160.20 : x
  2. Step 2: Convert to fraction form
    164.16/224.91 = 160.20/x
  3. Step 3: Cross multiply
    164.16x = 224.91 × 160.20
  4. Step 4: Simplify right side
    164.16x = 36,030.58
  5. Step 5: Solve for x
    x = 36,030.58/164.16
  6. Step 6: Final answer
    x = 219.48

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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.