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Finding the Fourth Proportional to 321.32, 482.08 and 184.34

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Solution

The fourth proportional to 321.32, 482.08 and 184.34 is: 276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.32 : 482.08 = 184.34 : x
  2. Step 2: Convert to fraction form
    321.32/482.08 = 184.34/x
  3. Step 3: Cross multiply
    321.32x = 482.08 × 184.34
  4. Step 4: Simplify right side
    321.32x = 88,866.63
  5. Step 5: Solve for x
    x = 88,866.63/321.32
  6. Step 6: Final answer
    x = 276.57

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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.