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Finding the Fourth Proportional to 164.58, 246.50 and 135.78

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Solution

The fourth proportional to 164.58, 246.50 and 135.78 is: 203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.58 : 246.50 = 135.78 : x
  2. Step 2: Convert to fraction form
    164.58/246.50 = 135.78/x
  3. Step 3: Cross multiply
    164.58x = 246.50 × 135.78
  4. Step 4: Simplify right side
    164.58x = 33,469.77
  5. Step 5: Solve for x
    x = 33,469.77/164.58
  6. Step 6: Final answer
    x = 203.36

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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.