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Finding the Fourth Proportional to 260.93, 390.88 and 209.33

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Solution

The fourth proportional to 260.93, 390.88 and 209.33 is: 313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.93 : 390.88 = 209.33 : x
  2. Step 2: Convert to fraction form
    260.93/390.88 = 209.33/x
  3. Step 3: Cross multiply
    260.93x = 390.88 × 209.33
  4. Step 4: Simplify right side
    260.93x = 81,822.91
  5. Step 5: Solve for x
    x = 81,822.91/260.93
  6. Step 6: Final answer
    x = 313.58

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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.