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Finding the Fourth Proportional to 270.36, 373.14 and 164.07

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Solution

The fourth proportional to 270.36, 373.14 and 164.07 is: 226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.36 : 373.14 = 164.07 : x
  2. Step 2: Convert to fraction form
    270.36/373.14 = 164.07/x
  3. Step 3: Cross multiply
    270.36x = 373.14 × 164.07
  4. Step 4: Simplify right side
    270.36x = 61,221.08
  5. Step 5: Solve for x
    x = 61,221.08/270.36
  6. Step 6: Final answer
    x = 226.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.