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Finding the Fourth Proportional to 287.02, 430.53 and 165.21

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Solution

The fourth proportional to 287.02, 430.53 and 165.21 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.02 : 430.53 = 165.21 : x
  2. Step 2: Convert to fraction form
    287.02/430.53 = 165.21/x
  3. Step 3: Cross multiply
    287.02x = 430.53 × 165.21
  4. Step 4: Simplify right side
    287.02x = 71,127.86
  5. Step 5: Solve for x
    x = 71,127.86/287.02
  6. Step 6: Final answer
    x = 247.82

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