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Finding the Fourth Proportional to 393.98, 591.06 and 120.10

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Solution

The fourth proportional to 393.98, 591.06 and 120.10 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.98 : 591.06 = 120.10 : x
  2. Step 2: Convert to fraction form
    393.98/591.06 = 120.10/x
  3. Step 3: Cross multiply
    393.98x = 591.06 × 120.10
  4. Step 4: Simplify right side
    393.98x = 70,983.05
  5. Step 5: Solve for x
    x = 70,983.05/393.98
  6. Step 6: Final answer
    x = 180.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.