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Finding the Fourth Proportional to 322.14, 482.80 and 175.54

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Solution

The fourth proportional to 322.14, 482.80 and 175.54 is: 263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.14 : 482.80 = 175.54 : x
  2. Step 2: Convert to fraction form
    322.14/482.80 = 175.54/x
  3. Step 3: Cross multiply
    322.14x = 482.80 × 175.54
  4. Step 4: Simplify right side
    322.14x = 84,750.71
  5. Step 5: Solve for x
    x = 84,750.71/322.14
  6. Step 6: Final answer
    x = 263.09

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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.