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Finding the Fourth Proportional to 164.45, 244.92 and 162.56

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Solution

The fourth proportional to 164.45, 244.92 and 162.56 is: 242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.45 : 244.92 = 162.56 : x
  2. Step 2: Convert to fraction form
    164.45/244.92 = 162.56/x
  3. Step 3: Cross multiply
    164.45x = 244.92 × 162.56
  4. Step 4: Simplify right side
    164.45x = 39,814.20
  5. Step 5: Solve for x
    x = 39,814.20/164.45
  6. Step 6: Final answer
    x = 242.11

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