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Finding the Fourth Proportional to 294.98, 407.22 and 195.50

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Solution

The fourth proportional to 294.98, 407.22 and 195.50 is: 269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.98 : 407.22 = 195.50 : x
  2. Step 2: Convert to fraction form
    294.98/407.22 = 195.50/x
  3. Step 3: Cross multiply
    294.98x = 407.22 × 195.50
  4. Step 4: Simplify right side
    294.98x = 79,609.47
  5. Step 5: Solve for x
    x = 79,609.47/294.98
  6. Step 6: Final answer
    x = 269.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.