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Finding the Fourth Proportional to 182.55, 271.89 and 176.16

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Solution

The fourth proportional to 182.55, 271.89 and 176.16 is: 262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.55 : 271.89 = 176.16 : x
  2. Step 2: Convert to fraction form
    182.55/271.89 = 176.16/x
  3. Step 3: Cross multiply
    182.55x = 271.89 × 176.16
  4. Step 4: Simplify right side
    182.55x = 47,896.14
  5. Step 5: Solve for x
    x = 47,896.14/182.55
  6. Step 6: Final answer
    x = 262.37

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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.