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Finding the Fourth Proportional to 301.07, 451.87 and 177.81

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Solution

The fourth proportional to 301.07, 451.87 and 177.81 is: 266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.07 : 451.87 = 177.81 : x
  2. Step 2: Convert to fraction form
    301.07/451.87 = 177.81/x
  3. Step 3: Cross multiply
    301.07x = 451.87 × 177.81
  4. Step 4: Simplify right side
    301.07x = 80,347.00
  5. Step 5: Solve for x
    x = 80,347.00/301.07
  6. Step 6: Final answer
    x = 266.87

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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.