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Finding the Fourth Proportional to 358.42, 537.71 and 142

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Solution

The fourth proportional to 358.42, 537.71 and 142 is: 213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.42 : 537.71 = 142 : x
  2. Step 2: Convert to fraction form
    358.42/537.71 = 142/x
  3. Step 3: Cross multiply
    358.42x = 537.71 × 142
  4. Step 4: Simplify right side
    358.42x = 76,354.82
  5. Step 5: Solve for x
    x = 76,354.82/358.42
  6. Step 6: Final answer
    x = 213.03

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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.