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Finding the Fourth Proportional to 301.92, 416.52 and 236.16

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Solution

The fourth proportional to 301.92, 416.52 and 236.16 is: 325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.92 : 416.52 = 236.16 : x
  2. Step 2: Convert to fraction form
    301.92/416.52 = 236.16/x
  3. Step 3: Cross multiply
    301.92x = 416.52 × 236.16
  4. Step 4: Simplify right side
    301.92x = 98,365.36
  5. Step 5: Solve for x
    x = 98,365.36/301.92
  6. Step 6: Final answer
    x = 325.80

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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.