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Finding the Fourth Proportional to 358.05, 536.91 and 114.54

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Solution

The fourth proportional to 358.05, 536.91 and 114.54 is: 171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.05 : 536.91 = 114.54 : x
  2. Step 2: Convert to fraction form
    358.05/536.91 = 114.54/x
  3. Step 3: Cross multiply
    358.05x = 536.91 × 114.54
  4. Step 4: Simplify right side
    358.05x = 61,497.67
  5. Step 5: Solve for x
    x = 61,497.67/358.05
  6. Step 6: Final answer
    x = 171.76

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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.