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Finding the Fourth Proportional to 237.17, 355.54 and 200.84

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Solution

The fourth proportional to 237.17, 355.54 and 200.84 is: 301.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.17 : 355.54 = 200.84 : x
  2. Step 2: Convert to fraction form
    237.17/355.54 = 200.84/x
  3. Step 3: Cross multiply
    237.17x = 355.54 × 200.84
  4. Step 4: Simplify right side
    237.17x = 71,406.00
  5. Step 5: Solve for x
    x = 71,406.00/237.17
  6. Step 6: Final answer
    x = 301.08

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