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Finding the Fourth Proportional to 260.71, 392.48 and 234.25

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Solution

The fourth proportional to 260.71, 392.48 and 234.25 is: 352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.71 : 392.48 = 234.25 : x
  2. Step 2: Convert to fraction form
    260.71/392.48 = 234.25/x
  3. Step 3: Cross multiply
    260.71x = 392.48 × 234.25
  4. Step 4: Simplify right side
    260.71x = 91,937.85
  5. Step 5: Solve for x
    x = 91,937.85/260.71
  6. Step 6: Final answer
    x = 352.64

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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.