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Finding the Fourth Proportional to 164.52, 228.02 and 161.45

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Solution

The fourth proportional to 164.52, 228.02 and 161.45 is: 223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.52 : 228.02 = 161.45 : x
  2. Step 2: Convert to fraction form
    164.52/228.02 = 161.45/x
  3. Step 3: Cross multiply
    164.52x = 228.02 × 161.45
  4. Step 4: Simplify right side
    164.52x = 36,811.88
  5. Step 5: Solve for x
    x = 36,811.88/164.52
  6. Step 6: Final answer
    x = 223.75

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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.