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Finding the Fourth Proportional to 181.24, 271.87 and 117.52

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Solution

The fourth proportional to 181.24, 271.87 and 117.52 is: 176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.24 : 271.87 = 117.52 : x
  2. Step 2: Convert to fraction form
    181.24/271.87 = 117.52/x
  3. Step 3: Cross multiply
    181.24x = 271.87 × 117.52
  4. Step 4: Simplify right side
    181.24x = 31,950.16
  5. Step 5: Solve for x
    x = 31,950.16/181.24
  6. Step 6: Final answer
    x = 176.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.