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Finding the Fourth Proportional to 345.84, 518.70 and 102.30

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Solution

The fourth proportional to 345.84, 518.70 and 102.30 is: 153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.84 : 518.70 = 102.30 : x
  2. Step 2: Convert to fraction form
    345.84/518.70 = 102.30/x
  3. Step 3: Cross multiply
    345.84x = 518.70 × 102.30
  4. Step 4: Simplify right side
    345.84x = 53,061.45
  5. Step 5: Solve for x
    x = 53,061.45/345.84
  6. Step 6: Final answer
    x = 153.43

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