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Finding the Fourth Proportional to 358.53, 537.93 and 142.13

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Solution

The fourth proportional to 358.53, 537.93 and 142.13 is: 213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.53 : 537.93 = 142.13 : x
  2. Step 2: Convert to fraction form
    358.53/537.93 = 142.13/x
  3. Step 3: Cross multiply
    358.53x = 537.93 × 142.13
  4. Step 4: Simplify right side
    358.53x = 76,455.99
  5. Step 5: Solve for x
    x = 76,455.99/358.53
  6. Step 6: Final answer
    x = 213.25

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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.