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Finding the Fourth Proportional to 305.69, 458.72 and 168.73

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Solution

The fourth proportional to 305.69, 458.72 and 168.73 is: 253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.69 : 458.72 = 168.73 : x
  2. Step 2: Convert to fraction form
    305.69/458.72 = 168.73/x
  3. Step 3: Cross multiply
    305.69x = 458.72 × 168.73
  4. Step 4: Simplify right side
    305.69x = 77,399.83
  5. Step 5: Solve for x
    x = 77,399.83/305.69
  6. Step 6: Final answer
    x = 253.20

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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.