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Finding the Fourth Proportional to 164.31, 245.99 and 144.06

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Solution

The fourth proportional to 164.31, 245.99 and 144.06 is: 215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.31 : 245.99 = 144.06 : x
  2. Step 2: Convert to fraction form
    164.31/245.99 = 144.06/x
  3. Step 3: Cross multiply
    164.31x = 245.99 × 144.06
  4. Step 4: Simplify right side
    164.31x = 35,437.33
  5. Step 5: Solve for x
    x = 35,437.33/164.31
  6. Step 6: Final answer
    x = 215.67

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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.