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Finding the Fourth Proportional to 259.99, 390.16 and 113.70

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Solution

The fourth proportional to 259.99, 390.16 and 113.70 is: 170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.99 : 390.16 = 113.70 : x
  2. Step 2: Convert to fraction form
    259.99/390.16 = 113.70/x
  3. Step 3: Cross multiply
    259.99x = 390.16 × 113.70
  4. Step 4: Simplify right side
    259.99x = 44,361.19
  5. Step 5: Solve for x
    x = 44,361.19/259.99
  6. Step 6: Final answer
    x = 170.63

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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.