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Finding the Fourth Proportional to 315.23, 435.09 and 204.68

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Solution

The fourth proportional to 315.23, 435.09 and 204.68 is: 282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.23 : 435.09 = 204.68 : x
  2. Step 2: Convert to fraction form
    315.23/435.09 = 204.68/x
  3. Step 3: Cross multiply
    315.23x = 435.09 × 204.68
  4. Step 4: Simplify right side
    315.23x = 89,054.22
  5. Step 5: Solve for x
    x = 89,054.22/315.23
  6. Step 6: Final answer
    x = 282.51

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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.