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Finding the Fourth Proportional to 315.76, 474.09 and 200.92

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Solution

The fourth proportional to 315.76, 474.09 and 200.92 is: 301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.76 : 474.09 = 200.92 : x
  2. Step 2: Convert to fraction form
    315.76/474.09 = 200.92/x
  3. Step 3: Cross multiply
    315.76x = 474.09 × 200.92
  4. Step 4: Simplify right side
    315.76x = 95,254.16
  5. Step 5: Solve for x
    x = 95,254.16/315.76
  6. Step 6: Final answer
    x = 301.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.