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Finding the Fourth Proportional to 321.84, 482.76 and 200.16

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Solution

The fourth proportional to 321.84, 482.76 and 200.16 is: 300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.84 : 482.76 = 200.16 : x
  2. Step 2: Convert to fraction form
    321.84/482.76 = 200.16/x
  3. Step 3: Cross multiply
    321.84x = 482.76 × 200.16
  4. Step 4: Simplify right side
    321.84x = 96,629.24
  5. Step 5: Solve for x
    x = 96,629.24/321.84
  6. Step 6: Final answer
    x = 300.24

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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.