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Finding the Fourth Proportional to 205.03, 307.65 and 83.32

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Solution

The fourth proportional to 205.03, 307.65 and 83.32 is: 125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.03 : 307.65 = 83.32 : x
  2. Step 2: Convert to fraction form
    205.03/307.65 = 83.32/x
  3. Step 3: Cross multiply
    205.03x = 307.65 × 83.32
  4. Step 4: Simplify right side
    205.03x = 25,633.40
  5. Step 5: Solve for x
    x = 25,633.40/205.03
  6. Step 6: Final answer
    x = 125.02

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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.