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Finding the Fourth Proportional to 174.81, 240.47 and 162.28

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Solution

The fourth proportional to 174.81, 240.47 and 162.28 is: 223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.81 : 240.47 = 162.28 : x
  2. Step 2: Convert to fraction form
    174.81/240.47 = 162.28/x
  3. Step 3: Cross multiply
    174.81x = 240.47 × 162.28
  4. Step 4: Simplify right side
    174.81x = 39,022.89
  5. Step 5: Solve for x
    x = 39,022.89/174.81
  6. Step 6: Final answer
    x = 223.23

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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.