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Finding the Fourth Proportional to 313.50, 432.65 and 197.14

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Solution

The fourth proportional to 313.50, 432.65 and 197.14 is: 272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.50 : 432.65 = 197.14 : x
  2. Step 2: Convert to fraction form
    313.50/432.65 = 197.14/x
  3. Step 3: Cross multiply
    313.50x = 432.65 × 197.14
  4. Step 4: Simplify right side
    313.50x = 85,292.62
  5. Step 5: Solve for x
    x = 85,292.62/313.50
  6. Step 6: Final answer
    x = 272.07

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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.