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Finding the Fourth Proportional to 322.02, 482.91 and 105.54

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Solution

The fourth proportional to 322.02, 482.91 and 105.54 is: 158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.02 : 482.91 = 105.54 : x
  2. Step 2: Convert to fraction form
    322.02/482.91 = 105.54/x
  3. Step 3: Cross multiply
    322.02x = 482.91 × 105.54
  4. Step 4: Simplify right side
    322.02x = 50,966.32
  5. Step 5: Solve for x
    x = 50,966.32/322.02
  6. Step 6: Final answer
    x = 158.27

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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.