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Finding the Fourth Proportional to 165.08, 246.34 and 146.90

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Solution

The fourth proportional to 165.08, 246.34 and 146.90 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.08 : 246.34 = 146.90 : x
  2. Step 2: Convert to fraction form
    165.08/246.34 = 146.90/x
  3. Step 3: Cross multiply
    165.08x = 246.34 × 146.90
  4. Step 4: Simplify right side
    165.08x = 36,187.35
  5. Step 5: Solve for x
    x = 36,187.35/165.08
  6. Step 6: Final answer
    x = 219.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.