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Finding the Fourth Proportional to 305.56, 458.54 and 122.92

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Solution

The fourth proportional to 305.56, 458.54 and 122.92 is: 184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.56 : 458.54 = 122.92 : x
  2. Step 2: Convert to fraction form
    305.56/458.54 = 122.92/x
  3. Step 3: Cross multiply
    305.56x = 458.54 × 122.92
  4. Step 4: Simplify right side
    305.56x = 56,363.74
  5. Step 5: Solve for x
    x = 56,363.74/305.56
  6. Step 6: Final answer
    x = 184.46

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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.