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Finding the Fourth Proportional to 205.43, 307.71 and 133.16

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Solution

The fourth proportional to 205.43, 307.71 and 133.16 is: 199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.43 : 307.71 = 133.16 : x
  2. Step 2: Convert to fraction form
    205.43/307.71 = 133.16/x
  3. Step 3: Cross multiply
    205.43x = 307.71 × 133.16
  4. Step 4: Simplify right side
    205.43x = 40,973.13
  5. Step 5: Solve for x
    x = 40,973.13/205.43
  6. Step 6: Final answer
    x = 199.46

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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.