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Finding the Fourth Proportional to 162.05, 241.72 and 143.82

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Solution

The fourth proportional to 162.05, 241.72 and 143.82 is: 214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.05 : 241.72 = 143.82 : x
  2. Step 2: Convert to fraction form
    162.05/241.72 = 143.82/x
  3. Step 3: Cross multiply
    162.05x = 241.72 × 143.82
  4. Step 4: Simplify right side
    162.05x = 34,763.81
  5. Step 5: Solve for x
    x = 34,763.81/162.05
  6. Step 6: Final answer
    x = 214.53

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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.