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Finding the Fourth Proportional to 421.13, 631.74 and 177.68

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Solution

The fourth proportional to 421.13, 631.74 and 177.68 is: 266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.13 : 631.74 = 177.68 : x
  2. Step 2: Convert to fraction form
    421.13/631.74 = 177.68/x
  3. Step 3: Cross multiply
    421.13x = 631.74 × 177.68
  4. Step 4: Simplify right side
    421.13x = 112,247.56
  5. Step 5: Solve for x
    x = 112,247.56/421.13
  6. Step 6: Final answer
    x = 266.54

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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.