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Finding the Fourth Proportional to 315.63, 435.44 and 197.57

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Solution

The fourth proportional to 315.63, 435.44 and 197.57 is: 272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.63 : 435.44 = 197.57 : x
  2. Step 2: Convert to fraction form
    315.63/435.44 = 197.57/x
  3. Step 3: Cross multiply
    315.63x = 435.44 × 197.57
  4. Step 4: Simplify right side
    315.63x = 86,031.46
  5. Step 5: Solve for x
    x = 86,031.46/315.63
  6. Step 6: Final answer
    x = 272.57

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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.