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Finding the Fourth Proportional to 305.48, 420.84 and 216.92

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Solution

The fourth proportional to 305.48, 420.84 and 216.92 is: 298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.48 : 420.84 = 216.92 : x
  2. Step 2: Convert to fraction form
    305.48/420.84 = 216.92/x
  3. Step 3: Cross multiply
    305.48x = 420.84 × 216.92
  4. Step 4: Simplify right side
    305.48x = 91,288.61
  5. Step 5: Solve for x
    x = 91,288.61/305.48
  6. Step 6: Final answer
    x = 298.84

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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.