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Finding the Fourth Proportional to 205.74, 284.01 and 131.13

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Solution

The fourth proportional to 205.74, 284.01 and 131.13 is: 181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.74 : 284.01 = 131.13 : x
  2. Step 2: Convert to fraction form
    205.74/284.01 = 131.13/x
  3. Step 3: Cross multiply
    205.74x = 284.01 × 131.13
  4. Step 4: Simplify right side
    205.74x = 37,242.23
  5. Step 5: Solve for x
    x = 37,242.23/205.74
  6. Step 6: Final answer
    x = 181.02

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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.