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Finding the Fourth Proportional to 162.69, 243.16 and 141.96

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Solution

The fourth proportional to 162.69, 243.16 and 141.96 is: 212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.69 : 243.16 = 141.96 : x
  2. Step 2: Convert to fraction form
    162.69/243.16 = 141.96/x
  3. Step 3: Cross multiply
    162.69x = 243.16 × 141.96
  4. Step 4: Simplify right side
    162.69x = 34,517.07
  5. Step 5: Solve for x
    x = 34,517.07/162.69
  6. Step 6: Final answer
    x = 212.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.