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Finding the Fourth Proportional to 315.09, 434.90 and 197.17

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Solution

The fourth proportional to 315.09, 434.90 and 197.17 is: 272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 434.90 = 197.17 : x
  2. Step 2: Convert to fraction form
    315.09/434.90 = 197.17/x
  3. Step 3: Cross multiply
    315.09x = 434.90 × 197.17
  4. Step 4: Simplify right side
    315.09x = 85,748.64
  5. Step 5: Solve for x
    x = 85,748.64/315.09
  6. Step 6: Final answer
    x = 272.14

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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.