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Finding the Fourth Proportional to 315.68, 435.46 and 212

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Solution

The fourth proportional to 315.68, 435.46 and 212 is: 292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.68 : 435.46 = 212 : x
  2. Step 2: Convert to fraction form
    315.68/435.46 = 212/x
  3. Step 3: Cross multiply
    315.68x = 435.46 × 212
  4. Step 4: Simplify right side
    315.68x = 92,317.52
  5. Step 5: Solve for x
    x = 92,317.52/315.68
  6. Step 6: Final answer
    x = 292.44

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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.