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Finding the Fourth Proportional to 162.14, 243 and 153.23

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Solution

The fourth proportional to 162.14, 243 and 153.23 is: 229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.14 : 243 = 153.23 : x
  2. Step 2: Convert to fraction form
    162.14/243 = 153.23/x
  3. Step 3: Cross multiply
    162.14x = 243 × 153.23
  4. Step 4: Simplify right side
    162.14x = 37,233.68
  5. Step 5: Solve for x
    x = 37,233.68/162.14
  6. Step 6: Final answer
    x = 229.65

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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.