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Finding the Fourth Proportional to 176.04, 262.29 and 165

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Solution

The fourth proportional to 176.04, 262.29 and 165 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.04 : 262.29 = 165 : x
  2. Step 2: Convert to fraction form
    176.04/262.29 = 165/x
  3. Step 3: Cross multiply
    176.04x = 262.29 × 165
  4. Step 4: Simplify right side
    176.04x = 43,277.85
  5. Step 5: Solve for x
    x = 43,277.85/176.04
  6. Step 6: Final answer
    x = 245.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.