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Finding the Fourth Proportional to 312.19, 430.45 and 201.67

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Solution

The fourth proportional to 312.19, 430.45 and 201.67 is: 278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 430.45 = 201.67 : x
  2. Step 2: Convert to fraction form
    312.19/430.45 = 201.67/x
  3. Step 3: Cross multiply
    312.19x = 430.45 × 201.67
  4. Step 4: Simplify right side
    312.19x = 86,808.85
  5. Step 5: Solve for x
    x = 86,808.85/312.19
  6. Step 6: Final answer
    x = 278.06

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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.