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Finding the Fourth Proportional to 304.93, 457.80 and 160.75

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Solution

The fourth proportional to 304.93, 457.80 and 160.75 is: 241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.93 : 457.80 = 160.75 : x
  2. Step 2: Convert to fraction form
    304.93/457.80 = 160.75/x
  3. Step 3: Cross multiply
    304.93x = 457.80 × 160.75
  4. Step 4: Simplify right side
    304.93x = 73,591.35
  5. Step 5: Solve for x
    x = 73,591.35/304.93
  6. Step 6: Final answer
    x = 241.34

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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.