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Finding the Fourth Proportional to 358.34, 537.15 and 203.95

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Solution

The fourth proportional to 358.34, 537.15 and 203.95 is: 305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.34 : 537.15 = 203.95 : x
  2. Step 2: Convert to fraction form
    358.34/537.15 = 203.95/x
  3. Step 3: Cross multiply
    358.34x = 537.15 × 203.95
  4. Step 4: Simplify right side
    358.34x = 109,552.03
  5. Step 5: Solve for x
    x = 109,552.03/358.34
  6. Step 6: Final answer
    x = 305.72

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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.