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Finding the Fourth Proportional to 358.05, 536.58 and 195.87

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Solution

The fourth proportional to 358.05, 536.58 and 195.87 is: 293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.05 : 536.58 = 195.87 : x
  2. Step 2: Convert to fraction form
    358.05/536.58 = 195.87/x
  3. Step 3: Cross multiply
    358.05x = 536.58 × 195.87
  4. Step 4: Simplify right side
    358.05x = 105,099.92
  5. Step 5: Solve for x
    x = 105,099.92/358.05
  6. Step 6: Final answer
    x = 293.53

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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.