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Finding the Fourth Proportional to 304.12, 455.86 and 173.83

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Solution

The fourth proportional to 304.12, 455.86 and 173.83 is: 260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.12 : 455.86 = 173.83 : x
  2. Step 2: Convert to fraction form
    304.12/455.86 = 173.83/x
  3. Step 3: Cross multiply
    304.12x = 455.86 × 173.83
  4. Step 4: Simplify right side
    304.12x = 79,242.14
  5. Step 5: Solve for x
    x = 79,242.14/304.12
  6. Step 6: Final answer
    x = 260.56

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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.