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Finding the Fourth Proportional to 288.16, 431.23 and 248.07

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Solution

The fourth proportional to 288.16, 431.23 and 248.07 is: 371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.16 : 431.23 = 248.07 : x
  2. Step 2: Convert to fraction form
    288.16/431.23 = 248.07/x
  3. Step 3: Cross multiply
    288.16x = 431.23 × 248.07
  4. Step 4: Simplify right side
    288.16x = 106,974.26
  5. Step 5: Solve for x
    x = 106,974.26/288.16
  6. Step 6: Final answer
    x = 371.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.