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Finding the Fourth Proportional to 165.58, 228.67 and 164.44

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Solution

The fourth proportional to 165.58, 228.67 and 164.44 is: 227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.58 : 228.67 = 164.44 : x
  2. Step 2: Convert to fraction form
    165.58/228.67 = 164.44/x
  3. Step 3: Cross multiply
    165.58x = 228.67 × 164.44
  4. Step 4: Simplify right side
    165.58x = 37,602.49
  5. Step 5: Solve for x
    x = 37,602.49/165.58
  6. Step 6: Final answer
    x = 227.10

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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.