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Finding the Fourth Proportional to 260.51, 390.54 and 249.86

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Solution

The fourth proportional to 260.51, 390.54 and 249.86 is: 374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.51 : 390.54 = 249.86 : x
  2. Step 2: Convert to fraction form
    260.51/390.54 = 249.86/x
  3. Step 3: Cross multiply
    260.51x = 390.54 × 249.86
  4. Step 4: Simplify right side
    260.51x = 97,578.37
  5. Step 5: Solve for x
    x = 97,578.37/260.51
  6. Step 6: Final answer
    x = 374.57

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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.