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Finding the Fourth Proportional to 162.54, 243.99 and 130.68

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Solution

The fourth proportional to 162.54, 243.99 and 130.68 is: 196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.54 : 243.99 = 130.68 : x
  2. Step 2: Convert to fraction form
    162.54/243.99 = 130.68/x
  3. Step 3: Cross multiply
    162.54x = 243.99 × 130.68
  4. Step 4: Simplify right side
    162.54x = 31,884.61
  5. Step 5: Solve for x
    x = 31,884.61/162.54
  6. Step 6: Final answer
    x = 196.16

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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.