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Finding the Fourth Proportional to 260.54, 390.50 and 106.39

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Solution

The fourth proportional to 260.54, 390.50 and 106.39 is: 159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.54 : 390.50 = 106.39 : x
  2. Step 2: Convert to fraction form
    260.54/390.50 = 106.39/x
  3. Step 3: Cross multiply
    260.54x = 390.50 × 106.39
  4. Step 4: Simplify right side
    260.54x = 41,542.81
  5. Step 5: Solve for x
    x = 41,542.81/260.54
  6. Step 6: Final answer
    x = 159.45

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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.