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Finding the Fourth Proportional to 358.80, 537.93 and 185.37

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Solution

The fourth proportional to 358.80, 537.93 and 185.37 is: 277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 537.93 = 185.37 : x
  2. Step 2: Convert to fraction form
    358.80/537.93 = 185.37/x
  3. Step 3: Cross multiply
    358.80x = 537.93 × 185.37
  4. Step 4: Simplify right side
    358.80x = 99,716.08
  5. Step 5: Solve for x
    x = 99,716.08/358.80
  6. Step 6: Final answer
    x = 277.92

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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.