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Finding the Fourth Proportional to 358.17, 537.27 and 141.75

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Solution

The fourth proportional to 358.17, 537.27 and 141.75 is: 212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.17 : 537.27 = 141.75 : x
  2. Step 2: Convert to fraction form
    358.17/537.27 = 141.75/x
  3. Step 3: Cross multiply
    358.17x = 537.27 × 141.75
  4. Step 4: Simplify right side
    358.17x = 76,158.02
  5. Step 5: Solve for x
    x = 76,158.02/358.17
  6. Step 6: Final answer
    x = 212.63

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Why These Related Problems?

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