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Finding the Fourth Proportional to 330.14, 455.59 and 205.77

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Solution

The fourth proportional to 330.14, 455.59 and 205.77 is: 283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.14 : 455.59 = 205.77 : x
  2. Step 2: Convert to fraction form
    330.14/455.59 = 205.77/x
  3. Step 3: Cross multiply
    330.14x = 455.59 × 205.77
  4. Step 4: Simplify right side
    330.14x = 93,748.72
  5. Step 5: Solve for x
    x = 93,748.72/330.14
  6. Step 6: Final answer
    x = 283.96

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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.