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Finding the Fourth Proportional to 260.33, 390.00 and 195.00

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Solution

The fourth proportional to 260.33, 390.00 and 195.00 is: 292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.33 : 390.00 = 195.00 : x
  2. Step 2: Convert to fraction form
    260.33/390.00 = 195.00/x
  3. Step 3: Cross multiply
    260.33x = 390.00 × 195.00
  4. Step 4: Simplify right side
    260.33x = 76,047.08
  5. Step 5: Solve for x
    x = 76,047.08/260.33
  6. Step 6: Final answer
    x = 292.12

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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.