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Finding the Fourth Proportional to 260.09, 390.14 and 150.34

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Solution

The fourth proportional to 260.09, 390.14 and 150.34 is: 225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.09 : 390.14 = 150.34 : x
  2. Step 2: Convert to fraction form
    260.09/390.14 = 150.34/x
  3. Step 3: Cross multiply
    260.09x = 390.14 × 150.34
  4. Step 4: Simplify right side
    260.09x = 58,650.95
  5. Step 5: Solve for x
    x = 58,650.95/260.09
  6. Step 6: Final answer
    x = 225.50

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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.