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Finding the Fourth Proportional to 305.58, 457.83 and 161.40

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Solution

The fourth proportional to 305.58, 457.83 and 161.40 is: 241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.58 : 457.83 = 161.40 : x
  2. Step 2: Convert to fraction form
    305.58/457.83 = 161.40/x
  3. Step 3: Cross multiply
    305.58x = 457.83 × 161.40
  4. Step 4: Simplify right side
    305.58x = 73,893.76
  5. Step 5: Solve for x
    x = 73,893.76/305.58
  6. Step 6: Final answer
    x = 241.81

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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.