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Finding the Fourth Proportional to 305.04, 420.84 and 194.49

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Solution

The fourth proportional to 305.04, 420.84 and 194.49 is: 268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.04 : 420.84 = 194.49 : x
  2. Step 2: Convert to fraction form
    305.04/420.84 = 194.49/x
  3. Step 3: Cross multiply
    305.04x = 420.84 × 194.49
  4. Step 4: Simplify right side
    305.04x = 81,849.17
  5. Step 5: Solve for x
    x = 81,849.17/305.04
  6. Step 6: Final answer
    x = 268.32

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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.