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Finding the Fourth Proportional to 322.14, 483.46 and 160

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Solution

The fourth proportional to 322.14, 483.46 and 160 is: 240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.14 : 483.46 = 160 : x
  2. Step 2: Convert to fraction form
    322.14/483.46 = 160/x
  3. Step 3: Cross multiply
    322.14x = 483.46 × 160
  4. Step 4: Simplify right side
    322.14x = 77,353.60
  5. Step 5: Solve for x
    x = 77,353.60/322.14
  6. Step 6: Final answer
    x = 240.12

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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.