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Finding the Fourth Proportional to 164.14, 246.30 and 106.40

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Solution

The fourth proportional to 164.14, 246.30 and 106.40 is: 159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.14 : 246.30 = 106.40 : x
  2. Step 2: Convert to fraction form
    164.14/246.30 = 106.40/x
  3. Step 3: Cross multiply
    164.14x = 246.30 × 106.40
  4. Step 4: Simplify right side
    164.14x = 26,206.32
  5. Step 5: Solve for x
    x = 26,206.32/164.14
  6. Step 6: Final answer
    x = 159.66

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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.