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Finding the Fourth Proportional to 260.48, 392.60 and 249.50

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Solution

The fourth proportional to 260.48, 392.60 and 249.50 is: 376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.48 : 392.60 = 249.50 : x
  2. Step 2: Convert to fraction form
    260.48/392.60 = 249.50/x
  3. Step 3: Cross multiply
    260.48x = 392.60 × 249.50
  4. Step 4: Simplify right side
    260.48x = 97,953.70
  5. Step 5: Solve for x
    x = 97,953.70/260.48
  6. Step 6: Final answer
    x = 376.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.