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Finding the Fourth Proportional to 301.50, 451.89 and 118.71

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Solution

The fourth proportional to 301.50, 451.89 and 118.71 is: 177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 451.89 = 118.71 : x
  2. Step 2: Convert to fraction form
    301.50/451.89 = 118.71/x
  3. Step 3: Cross multiply
    301.50x = 451.89 × 118.71
  4. Step 4: Simplify right side
    301.50x = 53,643.86
  5. Step 5: Solve for x
    x = 53,643.86/301.50
  6. Step 6: Final answer
    x = 177.92

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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.