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Finding the Fourth Proportional to 358.41, 537.62 and 142.01

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Solution

The fourth proportional to 358.41, 537.62 and 142.01 is: 213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.41 : 537.62 = 142.01 : x
  2. Step 2: Convert to fraction form
    358.41/537.62 = 142.01/x
  3. Step 3: Cross multiply
    358.41x = 537.62 × 142.01
  4. Step 4: Simplify right side
    358.41x = 76,344.02
  5. Step 5: Solve for x
    x = 76,344.02/358.41
  6. Step 6: Final answer
    x = 213.01

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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.