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Finding the Fourth Proportional to 358.06, 536.91 and 141.52

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Solution

The fourth proportional to 358.06, 536.91 and 141.52 is: 212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.06 : 536.91 = 141.52 : x
  2. Step 2: Convert to fraction form
    358.06/536.91 = 141.52/x
  3. Step 3: Cross multiply
    358.06x = 536.91 × 141.52
  4. Step 4: Simplify right side
    358.06x = 75,983.50
  5. Step 5: Solve for x
    x = 75,983.50/358.06
  6. Step 6: Final answer
    x = 212.21

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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.