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Finding the Fourth Proportional to 315.52, 435.43 and 205.18

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Solution

The fourth proportional to 315.52, 435.43 and 205.18 is: 283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.52 : 435.43 = 205.18 : x
  2. Step 2: Convert to fraction form
    315.52/435.43 = 205.18/x
  3. Step 3: Cross multiply
    315.52x = 435.43 × 205.18
  4. Step 4: Simplify right side
    315.52x = 89,341.99
  5. Step 5: Solve for x
    x = 89,341.99/315.52
  6. Step 6: Final answer
    x = 283.16

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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.