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Finding the Fourth Proportional to 328.19, 491.81 and 206.10

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Solution

The fourth proportional to 328.19, 491.81 and 206.10 is: 308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.19 : 491.81 = 206.10 : x
  2. Step 2: Convert to fraction form
    328.19/491.81 = 206.10/x
  3. Step 3: Cross multiply
    328.19x = 491.81 × 206.10
  4. Step 4: Simplify right side
    328.19x = 101,361.01
  5. Step 5: Solve for x
    x = 101,361.01/328.19
  6. Step 6: Final answer
    x = 308.85

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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.