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Finding the Fourth Proportional to 260.94, 392.10 and 244.53

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Solution

The fourth proportional to 260.94, 392.10 and 244.53 is: 367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.94 : 392.10 = 244.53 : x
  2. Step 2: Convert to fraction form
    260.94/392.10 = 244.53/x
  3. Step 3: Cross multiply
    260.94x = 392.10 × 244.53
  4. Step 4: Simplify right side
    260.94x = 95,880.21
  5. Step 5: Solve for x
    x = 95,880.21/260.94
  6. Step 6: Final answer
    x = 367.44

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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.