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Finding the Fourth Proportional to 301.24, 451.48 and 171.34

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Solution

The fourth proportional to 301.24, 451.48 and 171.34 is: 256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.24 : 451.48 = 171.34 : x
  2. Step 2: Convert to fraction form
    301.24/451.48 = 171.34/x
  3. Step 3: Cross multiply
    301.24x = 451.48 × 171.34
  4. Step 4: Simplify right side
    301.24x = 77,358.21
  5. Step 5: Solve for x
    x = 77,358.21/301.24
  6. Step 6: Final answer
    x = 256.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.