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Finding the Fourth Proportional to 235.47, 324.63 and 165.41

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Solution

The fourth proportional to 235.47, 324.63 and 165.41 is: 228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.47 : 324.63 = 165.41 : x
  2. Step 2: Convert to fraction form
    235.47/324.63 = 165.41/x
  3. Step 3: Cross multiply
    235.47x = 324.63 × 165.41
  4. Step 4: Simplify right side
    235.47x = 53,695.43
  5. Step 5: Solve for x
    x = 53,695.43/235.47
  6. Step 6: Final answer
    x = 228.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.