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Finding the Fourth Proportional to 301.66, 452.58 and 192.65

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Solution

The fourth proportional to 301.66, 452.58 and 192.65 is: 289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.66 : 452.58 = 192.65 : x
  2. Step 2: Convert to fraction form
    301.66/452.58 = 192.65/x
  3. Step 3: Cross multiply
    301.66x = 452.58 × 192.65
  4. Step 4: Simplify right side
    301.66x = 87,189.54
  5. Step 5: Solve for x
    x = 87,189.54/301.66
  6. Step 6: Final answer
    x = 289.03

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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.