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Finding the Fourth Proportional to 165.98, 228.65 and 165.51

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Solution

The fourth proportional to 165.98, 228.65 and 165.51 is: 227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.98 : 228.65 = 165.51 : x
  2. Step 2: Convert to fraction form
    165.98/228.65 = 165.51/x
  3. Step 3: Cross multiply
    165.98x = 228.65 × 165.51
  4. Step 4: Simplify right side
    165.98x = 37,843.03
  5. Step 5: Solve for x
    x = 37,843.03/165.98
  6. Step 6: Final answer
    x = 227.99

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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.