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Finding the Fourth Proportional to 355.35, 532.37 and 193.17

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Solution

The fourth proportional to 355.35, 532.37 and 193.17 is: 289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.35 : 532.37 = 193.17 : x
  2. Step 2: Convert to fraction form
    355.35/532.37 = 193.17/x
  3. Step 3: Cross multiply
    355.35x = 532.37 × 193.17
  4. Step 4: Simplify right side
    355.35x = 102,836.95
  5. Step 5: Solve for x
    x = 102,836.95/355.35
  6. Step 6: Final answer
    x = 289.40

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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.