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Finding the Fourth Proportional to 306.65, 423.07 and 201.80

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Solution

The fourth proportional to 306.65, 423.07 and 201.80 is: 278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.65 : 423.07 = 201.80 : x
  2. Step 2: Convert to fraction form
    306.65/423.07 = 201.80/x
  3. Step 3: Cross multiply
    306.65x = 423.07 × 201.80
  4. Step 4: Simplify right side
    306.65x = 85,372.40
  5. Step 5: Solve for x
    x = 85,372.40/306.65
  6. Step 6: Final answer
    x = 278.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.