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Finding the Fourth Proportional to 164.14, 245.90 and 146.86

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Solution

The fourth proportional to 164.14, 245.90 and 146.86 is: 220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.14 : 245.90 = 146.86 : x
  2. Step 2: Convert to fraction form
    164.14/245.90 = 146.86/x
  3. Step 3: Cross multiply
    164.14x = 245.90 × 146.86
  4. Step 4: Simplify right side
    164.14x = 36,112.87
  5. Step 5: Solve for x
    x = 36,112.87/164.14
  6. Step 6: Final answer
    x = 220.01

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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.