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Finding the Fourth Proportional to 314.45, 433.97 and 174.61

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Solution

The fourth proportional to 314.45, 433.97 and 174.61 is: 240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.45 : 433.97 = 174.61 : x
  2. Step 2: Convert to fraction form
    314.45/433.97 = 174.61/x
  3. Step 3: Cross multiply
    314.45x = 433.97 × 174.61
  4. Step 4: Simplify right side
    314.45x = 75,774.63
  5. Step 5: Solve for x
    x = 75,774.63/314.45
  6. Step 6: Final answer
    x = 240.98

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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.