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Finding the Fourth Proportional to 421.52, 632.54 and 165

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Solution

The fourth proportional to 421.52, 632.54 and 165 is: 247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.52 : 632.54 = 165 : x
  2. Step 2: Convert to fraction form
    421.52/632.54 = 165/x
  3. Step 3: Cross multiply
    421.52x = 632.54 × 165
  4. Step 4: Simplify right side
    421.52x = 104,369.10
  5. Step 5: Solve for x
    x = 104,369.10/421.52
  6. Step 6: Final answer
    x = 247.60

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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.