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Finding the Fourth Proportional to 305.13, 421.02 and 194.52

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Solution

The fourth proportional to 305.13, 421.02 and 194.52 is: 268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.13 : 421.02 = 194.52 : x
  2. Step 2: Convert to fraction form
    305.13/421.02 = 194.52/x
  3. Step 3: Cross multiply
    305.13x = 421.02 × 194.52
  4. Step 4: Simplify right side
    305.13x = 81,896.81
  5. Step 5: Solve for x
    x = 81,896.81/305.13
  6. Step 6: Final answer
    x = 268.40

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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.