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Finding the Fourth Proportional to 312.50, 430.97 and 201.93

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Solution

The fourth proportional to 312.50, 430.97 and 201.93 is: 278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.50 : 430.97 = 201.93 : x
  2. Step 2: Convert to fraction form
    312.50/430.97 = 201.93/x
  3. Step 3: Cross multiply
    312.50x = 430.97 × 201.93
  4. Step 4: Simplify right side
    312.50x = 87,024.76
  5. Step 5: Solve for x
    x = 87,024.76/312.50
  6. Step 6: Final answer
    x = 278.48

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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.