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Finding the Fourth Proportional to 164.08, 245.52 and 161.52

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Solution

The fourth proportional to 164.08, 245.52 and 161.52 is: 241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.08 : 245.52 = 161.52 : x
  2. Step 2: Convert to fraction form
    164.08/245.52 = 161.52/x
  3. Step 3: Cross multiply
    164.08x = 245.52 × 161.52
  4. Step 4: Simplify right side
    164.08x = 39,656.39
  5. Step 5: Solve for x
    x = 39,656.39/164.08
  6. Step 6: Final answer
    x = 241.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.