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Finding the Fourth Proportional to 322.05, 482.67 and 184.89

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Solution

The fourth proportional to 322.05, 482.67 and 184.89 is: 277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.05 : 482.67 = 184.89 : x
  2. Step 2: Convert to fraction form
    322.05/482.67 = 184.89/x
  3. Step 3: Cross multiply
    322.05x = 482.67 × 184.89
  4. Step 4: Simplify right side
    322.05x = 89,240.86
  5. Step 5: Solve for x
    x = 89,240.86/322.05
  6. Step 6: Final answer
    x = 277.10

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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.