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Finding the Fourth Proportional to 305.30, 421.52 and 194.93

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Solution

The fourth proportional to 305.30, 421.52 and 194.93 is: 269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.30 : 421.52 = 194.93 : x
  2. Step 2: Convert to fraction form
    305.30/421.52 = 194.93/x
  3. Step 3: Cross multiply
    305.30x = 421.52 × 194.93
  4. Step 4: Simplify right side
    305.30x = 82,166.89
  5. Step 5: Solve for x
    x = 82,166.89/305.30
  6. Step 6: Final answer
    x = 269.13

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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.