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Finding the Fourth Proportional to 305.37, 457.78 and 160.92

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Solution

The fourth proportional to 305.37, 457.78 and 160.92 is: 241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.37 : 457.78 = 160.92 : x
  2. Step 2: Convert to fraction form
    305.37/457.78 = 160.92/x
  3. Step 3: Cross multiply
    305.37x = 457.78 × 160.92
  4. Step 4: Simplify right side
    305.37x = 73,662.86
  5. Step 5: Solve for x
    x = 73,662.86/305.37
  6. Step 6: Final answer
    x = 241.23

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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.