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Finding the Fourth Proportional to 161.46, 242.44 and 153.74

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Solution

The fourth proportional to 161.46, 242.44 and 153.74 is: 230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.46 : 242.44 = 153.74 : x
  2. Step 2: Convert to fraction form
    161.46/242.44 = 153.74/x
  3. Step 3: Cross multiply
    161.46x = 242.44 × 153.74
  4. Step 4: Simplify right side
    161.46x = 37,272.73
  5. Step 5: Solve for x
    x = 37,272.73/161.46
  6. Step 6: Final answer
    x = 230.85

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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.