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Finding the Fourth Proportional to 174.23, 262.36 and 151.67

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Solution

The fourth proportional to 174.23, 262.36 and 151.67 is: 228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.23 : 262.36 = 151.67 : x
  2. Step 2: Convert to fraction form
    174.23/262.36 = 151.67/x
  3. Step 3: Cross multiply
    174.23x = 262.36 × 151.67
  4. Step 4: Simplify right side
    174.23x = 39,792.14
  5. Step 5: Solve for x
    x = 39,792.14/174.23
  6. Step 6: Final answer
    x = 228.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.