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Finding the Fourth Proportional to 237.36, 354.36 and 209.84

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Solution

The fourth proportional to 237.36, 354.36 and 209.84 is: 313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.36 : 354.36 = 209.84 : x
  2. Step 2: Convert to fraction form
    237.36/354.36 = 209.84/x
  3. Step 3: Cross multiply
    237.36x = 354.36 × 209.84
  4. Step 4: Simplify right side
    237.36x = 74,358.90
  5. Step 5: Solve for x
    x = 74,358.90/237.36
  6. Step 6: Final answer
    x = 313.27

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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.