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Finding the Fourth Proportional to 162.30, 241.79 and 154.56

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Solution

The fourth proportional to 162.30, 241.79 and 154.56 is: 230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.30 : 241.79 = 154.56 : x
  2. Step 2: Convert to fraction form
    162.30/241.79 = 154.56/x
  3. Step 3: Cross multiply
    162.30x = 241.79 × 154.56
  4. Step 4: Simplify right side
    162.30x = 37,371.06
  5. Step 5: Solve for x
    x = 37,371.06/162.30
  6. Step 6: Final answer
    x = 230.26

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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.