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Finding the Fourth Proportional to 358.98, 538.53 and 142.71

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Solution

The fourth proportional to 358.98, 538.53 and 142.71 is: 214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.98 : 538.53 = 142.71 : x
  2. Step 2: Convert to fraction form
    358.98/538.53 = 142.71/x
  3. Step 3: Cross multiply
    358.98x = 538.53 × 142.71
  4. Step 4: Simplify right side
    358.98x = 76,853.62
  5. Step 5: Solve for x
    x = 76,853.62/358.98
  6. Step 6: Final answer
    x = 214.09

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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.