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Finding the Fourth Proportional to 205.45, 283.53 and 118.13

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Solution

The fourth proportional to 205.45, 283.53 and 118.13 is: 163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.45 : 283.53 = 118.13 : x
  2. Step 2: Convert to fraction form
    205.45/283.53 = 118.13/x
  3. Step 3: Cross multiply
    205.45x = 283.53 × 118.13
  4. Step 4: Simplify right side
    205.45x = 33,492.42
  5. Step 5: Solve for x
    x = 33,492.42/205.45
  6. Step 6: Final answer
    x = 163.02

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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.