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Finding the Fourth Proportional to 234.81, 350.13 and 206.04

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Solution

The fourth proportional to 234.81, 350.13 and 206.04 is: 307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.81 : 350.13 = 206.04 : x
  2. Step 2: Convert to fraction form
    234.81/350.13 = 206.04/x
  3. Step 3: Cross multiply
    234.81x = 350.13 × 206.04
  4. Step 4: Simplify right side
    234.81x = 72,140.79
  5. Step 5: Solve for x
    x = 72,140.79/234.81
  6. Step 6: Final answer
    x = 307.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.