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Finding the Fourth Proportional to 162.41, 242.05 and 162.16

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Solution

The fourth proportional to 162.41, 242.05 and 162.16 is: 241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.41 : 242.05 = 162.16 : x
  2. Step 2: Convert to fraction form
    162.41/242.05 = 162.16/x
  3. Step 3: Cross multiply
    162.41x = 242.05 × 162.16
  4. Step 4: Simplify right side
    162.41x = 39,249.62
  5. Step 5: Solve for x
    x = 39,249.62/162.41
  6. Step 6: Final answer
    x = 241.67

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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.