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Finding the Fourth Proportional to 421.56, 632.22 and 165

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Solution

The fourth proportional to 421.56, 632.22 and 165 is: 247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.56 : 632.22 = 165 : x
  2. Step 2: Convert to fraction form
    421.56/632.22 = 165/x
  3. Step 3: Cross multiply
    421.56x = 632.22 × 165
  4. Step 4: Simplify right side
    421.56x = 104,316.30
  5. Step 5: Solve for x
    x = 104,316.30/421.56
  6. Step 6: Final answer
    x = 247.45

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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.