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Finding the Fourth Proportional to 159.22, 219.67 and 117.64

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Solution

The fourth proportional to 159.22, 219.67 and 117.64 is: 162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.22 : 219.67 = 117.64 : x
  2. Step 2: Convert to fraction form
    159.22/219.67 = 117.64/x
  3. Step 3: Cross multiply
    159.22x = 219.67 × 117.64
  4. Step 4: Simplify right side
    159.22x = 25,841.98
  5. Step 5: Solve for x
    x = 25,841.98/159.22
  6. Step 6: Final answer
    x = 162.30

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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.