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Finding the Fourth Proportional to 164.80, 246.84 and 78.00

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Solution

The fourth proportional to 164.80, 246.84 and 78.00 is: 116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.80 : 246.84 = 78.00 : x
  2. Step 2: Convert to fraction form
    164.80/246.84 = 78.00/x
  3. Step 3: Cross multiply
    164.80x = 246.84 × 78.00
  4. Step 4: Simplify right side
    164.80x = 19,252.71
  5. Step 5: Solve for x
    x = 19,252.71/164.80
  6. Step 6: Final answer
    x = 116.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.