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Finding the Fourth Proportional to 259.77, 389.54 and 105.57

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Solution

The fourth proportional to 259.77, 389.54 and 105.57 is: 158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.77 : 389.54 = 105.57 : x
  2. Step 2: Convert to fraction form
    259.77/389.54 = 105.57/x
  3. Step 3: Cross multiply
    259.77x = 389.54 × 105.57
  4. Step 4: Simplify right side
    259.77x = 41,124.18
  5. Step 5: Solve for x
    x = 41,124.18/259.77
  6. Step 6: Final answer
    x = 158.31

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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.