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Finding the Fourth Proportional to 162.12, 241.75 and 160.66

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Solution

The fourth proportional to 162.12, 241.75 and 160.66 is: 239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.12 : 241.75 = 160.66 : x
  2. Step 2: Convert to fraction form
    162.12/241.75 = 160.66/x
  3. Step 3: Cross multiply
    162.12x = 241.75 × 160.66
  4. Step 4: Simplify right side
    162.12x = 38,839.56
  5. Step 5: Solve for x
    x = 38,839.56/162.12
  6. Step 6: Final answer
    x = 239.57

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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.