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Finding the Fourth Proportional to 176.10, 262.39 and 156.94

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Solution

The fourth proportional to 176.10, 262.39 and 156.94 is: 233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.10 : 262.39 = 156.94 : x
  2. Step 2: Convert to fraction form
    176.10/262.39 = 156.94/x
  3. Step 3: Cross multiply
    176.10x = 262.39 × 156.94
  4. Step 4: Simplify right side
    176.10x = 41,179.49
  5. Step 5: Solve for x
    x = 41,179.49/176.10
  6. Step 6: Final answer
    x = 233.84

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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.