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Finding the Fourth Proportional to 314.46, 433.96 and 174.57

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Solution

The fourth proportional to 314.46, 433.96 and 174.57 is: 240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 433.96 = 174.57 : x
  2. Step 2: Convert to fraction form
    314.46/433.96 = 174.57/x
  3. Step 3: Cross multiply
    314.46x = 433.96 × 174.57
  4. Step 4: Simplify right side
    314.46x = 75,756.40
  5. Step 5: Solve for x
    x = 75,756.40/314.46
  6. Step 6: Final answer
    x = 240.91

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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.