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Finding the Fourth Proportional to 181.84, 251.04 and 174.10

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Solution

The fourth proportional to 181.84, 251.04 and 174.10 is: 240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.84 : 251.04 = 174.10 : x
  2. Step 2: Convert to fraction form
    181.84/251.04 = 174.10/x
  3. Step 3: Cross multiply
    181.84x = 251.04 × 174.10
  4. Step 4: Simplify right side
    181.84x = 43,706.06
  5. Step 5: Solve for x
    x = 43,706.06/181.84
  6. Step 6: Final answer
    x = 240.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.