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Finding the Fourth Proportional to 332.50, 458.85 and 194.50

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Solution

The fourth proportional to 332.50, 458.85 and 194.50 is: 268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.50 : 458.85 = 194.50 : x
  2. Step 2: Convert to fraction form
    332.50/458.85 = 194.50/x
  3. Step 3: Cross multiply
    332.50x = 458.85 × 194.50
  4. Step 4: Simplify right side
    332.50x = 89,246.33
  5. Step 5: Solve for x
    x = 89,246.33/332.50
  6. Step 6: Final answer
    x = 268.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.