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Finding the Fourth Proportional to 162.20, 242.96 and 127.80

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Solution

The fourth proportional to 162.20, 242.96 and 127.80 is: 191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.20 : 242.96 = 127.80 : x
  2. Step 2: Convert to fraction form
    162.20/242.96 = 127.80/x
  3. Step 3: Cross multiply
    162.20x = 242.96 × 127.80
  4. Step 4: Simplify right side
    162.20x = 31,050.29
  5. Step 5: Solve for x
    x = 31,050.29/162.20
  6. Step 6: Final answer
    x = 191.43

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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.