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Finding the Fourth Proportional to 205.80, 307.40 and 154.16

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Solution

The fourth proportional to 205.80, 307.40 and 154.16 is: 230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.80 : 307.40 = 154.16 : x
  2. Step 2: Convert to fraction form
    205.80/307.40 = 154.16/x
  3. Step 3: Cross multiply
    205.80x = 307.40 × 154.16
  4. Step 4: Simplify right side
    205.80x = 47,388.78
  5. Step 5: Solve for x
    x = 47,388.78/205.80
  6. Step 6: Final answer
    x = 230.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.