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Finding the Fourth Proportional to 301.68, 452.55 and 82.31

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Solution

The fourth proportional to 301.68, 452.55 and 82.31 is: 123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.68 : 452.55 = 82.31 : x
  2. Step 2: Convert to fraction form
    301.68/452.55 = 82.31/x
  3. Step 3: Cross multiply
    301.68x = 452.55 × 82.31
  4. Step 4: Simplify right side
    301.68x = 37,247.13
  5. Step 5: Solve for x
    x = 37,247.13/301.68
  6. Step 6: Final answer
    x = 123.47

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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.