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Finding the Fourth Proportional to 314.66, 434.08 and 196.55

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Solution

The fourth proportional to 314.66, 434.08 and 196.55 is: 271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.66 : 434.08 = 196.55 : x
  2. Step 2: Convert to fraction form
    314.66/434.08 = 196.55/x
  3. Step 3: Cross multiply
    314.66x = 434.08 × 196.55
  4. Step 4: Simplify right side
    314.66x = 85,318.42
  5. Step 5: Solve for x
    x = 85,318.42/314.66
  6. Step 6: Final answer
    x = 271.14

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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.