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Finding the Fourth Proportional to 315.80, 435.68 and 197.72

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Solution

The fourth proportional to 315.80, 435.68 and 197.72 is: 272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.80 : 435.68 = 197.72 : x
  2. Step 2: Convert to fraction form
    315.80/435.68 = 197.72/x
  3. Step 3: Cross multiply
    315.80x = 435.68 × 197.72
  4. Step 4: Simplify right side
    315.80x = 86,139.48
  5. Step 5: Solve for x
    x = 86,139.48/315.80
  6. Step 6: Final answer
    x = 272.77

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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.