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Finding the Fourth Proportional to 164.56, 246.62 and 145.26

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Solution

The fourth proportional to 164.56, 246.62 and 145.26 is: 217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.56 : 246.62 = 145.26 : x
  2. Step 2: Convert to fraction form
    164.56/246.62 = 145.26/x
  3. Step 3: Cross multiply
    164.56x = 246.62 × 145.26
  4. Step 4: Simplify right side
    164.56x = 35,824.02
  5. Step 5: Solve for x
    x = 35,824.02/164.56
  6. Step 6: Final answer
    x = 217.70

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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.