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Finding the Fourth Proportional to 287.84, 431.21 and 165.74

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Solution

The fourth proportional to 287.84, 431.21 and 165.74 is: 248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.84 : 431.21 = 165.74 : x
  2. Step 2: Convert to fraction form
    287.84/431.21 = 165.74/x
  3. Step 3: Cross multiply
    287.84x = 431.21 × 165.74
  4. Step 4: Simplify right side
    287.84x = 71,465.76
  5. Step 5: Solve for x
    x = 71,465.76/287.84
  6. Step 6: Final answer
    x = 248.29

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