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Finding the Fourth Proportional to 162.23, 244.43 and 146.82

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Solution

The fourth proportional to 162.23, 244.43 and 146.82 is: 221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.23 : 244.43 = 146.82 : x
  2. Step 2: Convert to fraction form
    162.23/244.43 = 146.82/x
  3. Step 3: Cross multiply
    162.23x = 244.43 × 146.82
  4. Step 4: Simplify right side
    162.23x = 35,886.23
  5. Step 5: Solve for x
    x = 35,886.23/162.23
  6. Step 6: Final answer
    x = 221.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.