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Finding the Fourth Proportional to 237.44, 354.08 and 229.12

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Solution

The fourth proportional to 237.44, 354.08 and 229.12 is: 341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.44 : 354.08 = 229.12 : x
  2. Step 2: Convert to fraction form
    237.44/354.08 = 229.12/x
  3. Step 3: Cross multiply
    237.44x = 354.08 × 229.12
  4. Step 4: Simplify right side
    237.44x = 81,126.81
  5. Step 5: Solve for x
    x = 81,126.81/237.44
  6. Step 6: Final answer
    x = 341.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.