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Finding the Fourth Proportional to 321.93, 482.45 and 184.77

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Solution

The fourth proportional to 321.93, 482.45 and 184.77 is: 276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.93 : 482.45 = 184.77 : x
  2. Step 2: Convert to fraction form
    321.93/482.45 = 184.77/x
  3. Step 3: Cross multiply
    321.93x = 482.45 × 184.77
  4. Step 4: Simplify right side
    321.93x = 89,141.36
  5. Step 5: Solve for x
    x = 89,141.36/321.93
  6. Step 6: Final answer
    x = 276.90

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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.