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Finding the Fourth Proportional to 235.91, 325.25 and 162.10

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Solution

The fourth proportional to 235.91, 325.25 and 162.10 is: 223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.91 : 325.25 = 162.10 : x
  2. Step 2: Convert to fraction form
    235.91/325.25 = 162.10/x
  3. Step 3: Cross multiply
    235.91x = 325.25 × 162.10
  4. Step 4: Simplify right side
    235.91x = 52,723.03
  5. Step 5: Solve for x
    x = 52,723.03/235.91
  6. Step 6: Final answer
    x = 223.49

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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.