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Finding the Fourth Proportional to 259.60, 389.55 and 105.51

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Solution

The fourth proportional to 259.60, 389.55 and 105.51 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.60 : 389.55 = 105.51 : x
  2. Step 2: Convert to fraction form
    259.60/389.55 = 105.51/x
  3. Step 3: Cross multiply
    259.60x = 389.55 × 105.51
  4. Step 4: Simplify right side
    259.60x = 41,102.66
  5. Step 5: Solve for x
    x = 41,102.66/259.60
  6. Step 6: Final answer
    x = 158.33

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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.