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Finding the Fourth Proportional to 301.96, 416.64 and 175.91

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Solution

The fourth proportional to 301.96, 416.64 and 175.91 is: 242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.96 : 416.64 = 175.91 : x
  2. Step 2: Convert to fraction form
    301.96/416.64 = 175.91/x
  3. Step 3: Cross multiply
    301.96x = 416.64 × 175.91
  4. Step 4: Simplify right side
    301.96x = 73,289.72
  5. Step 5: Solve for x
    x = 73,289.72/301.96
  6. Step 6: Final answer
    x = 242.71

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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.