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Finding the Fourth Proportional to 302.12, 452.86 and 205.48

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Solution

The fourth proportional to 302.12, 452.86 and 205.48 is: 308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.12 : 452.86 = 205.48 : x
  2. Step 2: Convert to fraction form
    302.12/452.86 = 205.48/x
  3. Step 3: Cross multiply
    302.12x = 452.86 × 205.48
  4. Step 4: Simplify right side
    302.12x = 93,053.67
  5. Step 5: Solve for x
    x = 93,053.67/302.12
  6. Step 6: Final answer
    x = 308.00

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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.