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Finding the Fourth Proportional to 205.13, 307.70 and 113.60

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Solution

The fourth proportional to 205.13, 307.70 and 113.60 is: 170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 307.70 = 113.60 : x
  2. Step 2: Convert to fraction form
    205.13/307.70 = 113.60/x
  3. Step 3: Cross multiply
    205.13x = 307.70 × 113.60
  4. Step 4: Simplify right side
    205.13x = 34,954.72
  5. Step 5: Solve for x
    x = 34,954.72/205.13
  6. Step 6: Final answer
    x = 170.40

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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.