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Finding the Fourth Proportional to 205.10, 307.04 and 140.16

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Solution

The fourth proportional to 205.10, 307.04 and 140.16 is: 209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.10 : 307.04 = 140.16 : x
  2. Step 2: Convert to fraction form
    205.10/307.04 = 140.16/x
  3. Step 3: Cross multiply
    205.10x = 307.04 × 140.16
  4. Step 4: Simplify right side
    205.10x = 43,034.03
  5. Step 5: Solve for x
    x = 43,034.03/205.10
  6. Step 6: Final answer
    x = 209.82

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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.