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Finding the Fourth Proportional to 181.46, 271.10 and 140.78

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Solution

The fourth proportional to 181.46, 271.10 and 140.78 is: 210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.46 : 271.10 = 140.78 : x
  2. Step 2: Convert to fraction form
    181.46/271.10 = 140.78/x
  3. Step 3: Cross multiply
    181.46x = 271.10 × 140.78
  4. Step 4: Simplify right side
    181.46x = 38,165.46
  5. Step 5: Solve for x
    x = 38,165.46/181.46
  6. Step 6: Final answer
    x = 210.32

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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.