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Finding the Fourth Proportional to 260.56, 390.40 and 169.12

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Solution

The fourth proportional to 260.56, 390.40 and 169.12 is: 253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.56 : 390.40 = 169.12 : x
  2. Step 2: Convert to fraction form
    260.56/390.40 = 169.12/x
  3. Step 3: Cross multiply
    260.56x = 390.40 × 169.12
  4. Step 4: Simplify right side
    260.56x = 66,024.45
  5. Step 5: Solve for x
    x = 66,024.45/260.56
  6. Step 6: Final answer
    x = 253.39

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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.