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Finding the Fourth Proportional to 281.55, 421.61 and 194.77

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Solution

The fourth proportional to 281.55, 421.61 and 194.77 is: 291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.55 : 421.61 = 194.77 : x
  2. Step 2: Convert to fraction form
    281.55/421.61 = 194.77/x
  3. Step 3: Cross multiply
    281.55x = 421.61 × 194.77
  4. Step 4: Simplify right side
    281.55x = 82,114.95
  5. Step 5: Solve for x
    x = 82,114.95/281.55
  6. Step 6: Final answer
    x = 291.65

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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.