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Finding the Fourth Proportional to 237.97, 328.98 and 228.34

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Solution

The fourth proportional to 237.97, 328.98 and 228.34 is: 315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.97 : 328.98 = 228.34 : x
  2. Step 2: Convert to fraction form
    237.97/328.98 = 228.34/x
  3. Step 3: Cross multiply
    237.97x = 328.98 × 228.34
  4. Step 4: Simplify right side
    237.97x = 75,119.29
  5. Step 5: Solve for x
    x = 75,119.29/237.97
  6. Step 6: Final answer
    x = 315.67

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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.