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Finding the Fourth Proportional to 237.93, 328.42 and 209.98

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Solution

The fourth proportional to 237.93, 328.42 and 209.98 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.93 : 328.42 = 209.98 : x
  2. Step 2: Convert to fraction form
    237.93/328.42 = 209.98/x
  3. Step 3: Cross multiply
    237.93x = 328.42 × 209.98
  4. Step 4: Simplify right side
    237.93x = 68,961.63
  5. Step 5: Solve for x
    x = 68,961.63/237.93
  6. Step 6: Final answer
    x = 289.84

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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.