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Finding the Fourth Proportional to 345.49, 518.24 and 140.00

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Solution

The fourth proportional to 345.49, 518.24 and 140.00 is: 210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.49 : 518.24 = 140.00 : x
  2. Step 2: Convert to fraction form
    345.49/518.24 = 140.00/x
  3. Step 3: Cross multiply
    345.49x = 518.24 × 140.00
  4. Step 4: Simplify right side
    345.49x = 72,551.36
  5. Step 5: Solve for x
    x = 72,551.36/345.49
  6. Step 6: Final answer
    x = 210.00

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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.