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Finding the Fourth Proportional to 164.05, 245.23 and 144.07

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Solution

The fourth proportional to 164.05, 245.23 and 144.07 is: 215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.05 : 245.23 = 144.07 : x
  2. Step 2: Convert to fraction form
    164.05/245.23 = 144.07/x
  3. Step 3: Cross multiply
    164.05x = 245.23 × 144.07
  4. Step 4: Simplify right side
    164.05x = 35,330.29
  5. Step 5: Solve for x
    x = 35,330.29/164.05
  6. Step 6: Final answer
    x = 215.36

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