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Finding the Fourth Proportional to 313.68, 432.96 and 197.30

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Solution

The fourth proportional to 313.68, 432.96 and 197.30 is: 272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.68 : 432.96 = 197.30 : x
  2. Step 2: Convert to fraction form
    313.68/432.96 = 197.30/x
  3. Step 3: Cross multiply
    313.68x = 432.96 × 197.30
  4. Step 4: Simplify right side
    313.68x = 85,423.01
  5. Step 5: Solve for x
    x = 85,423.01/313.68
  6. Step 6: Final answer
    x = 272.33

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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.