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Finding the Fourth Proportional to 162.81, 245.36 and 161.39

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Solution

The fourth proportional to 162.81, 245.36 and 161.39 is: 243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.81 : 245.36 = 161.39 : x
  2. Step 2: Convert to fraction form
    162.81/245.36 = 161.39/x
  3. Step 3: Cross multiply
    162.81x = 245.36 × 161.39
  4. Step 4: Simplify right side
    162.81x = 39,599.67
  5. Step 5: Solve for x
    x = 39,599.67/162.81
  6. Step 6: Final answer
    x = 243.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.