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Finding the Fourth Proportional to 305.73, 458.45 and 122.98

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Solution

The fourth proportional to 305.73, 458.45 and 122.98 is: 184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.73 : 458.45 = 122.98 : x
  2. Step 2: Convert to fraction form
    305.73/458.45 = 122.98/x
  3. Step 3: Cross multiply
    305.73x = 458.45 × 122.98
  4. Step 4: Simplify right side
    305.73x = 56,378.42
  5. Step 5: Solve for x
    x = 56,378.42/305.73
  6. Step 6: Final answer
    x = 184.41

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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.