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Finding the Fourth Proportional to 312.23, 430.72 and 201.80

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Solution

The fourth proportional to 312.23, 430.72 and 201.80 is: 278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.23 : 430.72 = 201.80 : x
  2. Step 2: Convert to fraction form
    312.23/430.72 = 201.80/x
  3. Step 3: Cross multiply
    312.23x = 430.72 × 201.80
  4. Step 4: Simplify right side
    312.23x = 86,916.64
  5. Step 5: Solve for x
    x = 86,916.64/312.23
  6. Step 6: Final answer
    x = 278.38

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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.