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Finding the Fourth Proportional to 205.64, 307.98 and 120.20

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Solution

The fourth proportional to 205.64, 307.98 and 120.20 is: 180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.64 : 307.98 = 120.20 : x
  2. Step 2: Convert to fraction form
    205.64/307.98 = 120.20/x
  3. Step 3: Cross multiply
    205.64x = 307.98 × 120.20
  4. Step 4: Simplify right side
    205.64x = 37,019.20
  5. Step 5: Solve for x
    x = 37,019.20/205.64
  6. Step 6: Final answer
    x = 180.02

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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.