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Finding the Fourth Proportional to 165.65, 228.65 and 110.43

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Solution

The fourth proportional to 165.65, 228.65 and 110.43 is: 152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.65 : 228.65 = 110.43 : x
  2. Step 2: Convert to fraction form
    165.65/228.65 = 110.43/x
  3. Step 3: Cross multiply
    165.65x = 228.65 × 110.43
  4. Step 4: Simplify right side
    165.65x = 25,249.27
  5. Step 5: Solve for x
    x = 25,249.27/165.65
  6. Step 6: Final answer
    x = 152.43

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Why These Related Problems?

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