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Finding the Fourth Proportional to 164.90, 247.06 and 119.02

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Solution

The fourth proportional to 164.90, 247.06 and 119.02 is: 178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.90 : 247.06 = 119.02 : x
  2. Step 2: Convert to fraction form
    164.90/247.06 = 119.02/x
  3. Step 3: Cross multiply
    164.90x = 247.06 × 119.02
  4. Step 4: Simplify right side
    164.90x = 29,405.08
  5. Step 5: Solve for x
    x = 29,405.08/164.90
  6. Step 6: Final answer
    x = 178.32

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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.