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Finding the Fourth Proportional to 165.67, 228.16 and 162.08

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Solution

The fourth proportional to 165.67, 228.16 and 162.08 is: 223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.67 : 228.16 = 162.08 : x
  2. Step 2: Convert to fraction form
    165.67/228.16 = 162.08/x
  3. Step 3: Cross multiply
    165.67x = 228.16 × 162.08
  4. Step 4: Simplify right side
    165.67x = 36,981.37
  5. Step 5: Solve for x
    x = 36,981.37/165.67
  6. Step 6: Final answer
    x = 223.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.