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Finding the Fourth Proportional to 304.82, 457.37 and 160.50

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Solution

The fourth proportional to 304.82, 457.37 and 160.50 is: 240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.82 : 457.37 = 160.50 : x
  2. Step 2: Convert to fraction form
    304.82/457.37 = 160.50/x
  3. Step 3: Cross multiply
    304.82x = 457.37 × 160.50
  4. Step 4: Simplify right side
    304.82x = 73,407.08
  5. Step 5: Solve for x
    x = 73,407.08/304.82
  6. Step 6: Final answer
    x = 240.83

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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.