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Finding the Fourth Proportional to 314.59, 434.15 and 174.70

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Solution

The fourth proportional to 314.59, 434.15 and 174.70 is: 241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.59 : 434.15 = 174.70 : x
  2. Step 2: Convert to fraction form
    314.59/434.15 = 174.70/x
  3. Step 3: Cross multiply
    314.59x = 434.15 × 174.70
  4. Step 4: Simplify right side
    314.59x = 75,846.01
  5. Step 5: Solve for x
    x = 75,846.01/314.59
  6. Step 6: Final answer
    x = 241.09

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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.