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Finding the Fourth Proportional to 205.48, 307.50 and 181.48

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Solution

The fourth proportional to 205.48, 307.50 and 181.48 is: 271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.48 : 307.50 = 181.48 : x
  2. Step 2: Convert to fraction form
    205.48/307.50 = 181.48/x
  3. Step 3: Cross multiply
    205.48x = 307.50 × 181.48
  4. Step 4: Simplify right side
    205.48x = 55,805.10
  5. Step 5: Solve for x
    x = 55,805.10/205.48
  6. Step 6: Final answer
    x = 271.58

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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.