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Finding the Fourth Proportional to 162.43, 243.83 and 127.83

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Solution

The fourth proportional to 162.43, 243.83 and 127.83 is: 191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.43 : 243.83 = 127.83 : x
  2. Step 2: Convert to fraction form
    162.43/243.83 = 127.83/x
  3. Step 3: Cross multiply
    162.43x = 243.83 × 127.83
  4. Step 4: Simplify right side
    162.43x = 31,168.79
  5. Step 5: Solve for x
    x = 31,168.79/162.43
  6. Step 6: Final answer
    x = 191.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.