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Finding the Fourth Proportional to 421.09, 631.97 and 177.78

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Solution

The fourth proportional to 421.09, 631.97 and 177.78 is: 266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.09 : 631.97 = 177.78 : x
  2. Step 2: Convert to fraction form
    421.09/631.97 = 177.78/x
  3. Step 3: Cross multiply
    421.09x = 631.97 × 177.78
  4. Step 4: Simplify right side
    421.09x = 112,351.63
  5. Step 5: Solve for x
    x = 112,351.63/421.09
  6. Step 6: Final answer
    x = 266.81

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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.