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Finding the Fourth Proportional to 164.58, 246.90 and 68.38

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Solution

The fourth proportional to 164.58, 246.90 and 68.38 is: 102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.58 : 246.90 = 68.38 : x
  2. Step 2: Convert to fraction form
    164.58/246.90 = 68.38/x
  3. Step 3: Cross multiply
    164.58x = 246.90 × 68.38
  4. Step 4: Simplify right side
    164.58x = 16,883.02
  5. Step 5: Solve for x
    x = 16,883.02/164.58
  6. Step 6: Final answer
    x = 102.58

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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.