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Finding the Fourth Proportional to 165.24, 229.32 and 158.64

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Solution

The fourth proportional to 165.24, 229.32 and 158.64 is: 220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 229.32 = 158.64 : x
  2. Step 2: Convert to fraction form
    165.24/229.32 = 158.64/x
  3. Step 3: Cross multiply
    165.24x = 229.32 × 158.64
  4. Step 4: Simplify right side
    165.24x = 36,379.32
  5. Step 5: Solve for x
    x = 36,379.32/165.24
  6. Step 6: Final answer
    x = 220.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.