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Finding the Fourth Proportional to 287.76, 431.47 and 185.02

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Solution

The fourth proportional to 287.76, 431.47 and 185.02 is: 277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.76 : 431.47 = 185.02 : x
  2. Step 2: Convert to fraction form
    287.76/431.47 = 185.02/x
  3. Step 3: Cross multiply
    287.76x = 431.47 × 185.02
  4. Step 4: Simplify right side
    287.76x = 79,830.58
  5. Step 5: Solve for x
    x = 79,830.58/287.76
  6. Step 6: Final answer
    x = 277.42

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