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Finding the Fourth Proportional to 314.28, 433.70 and 181.46

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Solution

The fourth proportional to 314.28, 433.70 and 181.46 is: 250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 433.70 = 181.46 : x
  2. Step 2: Convert to fraction form
    314.28/433.70 = 181.46/x
  3. Step 3: Cross multiply
    314.28x = 433.70 × 181.46
  4. Step 4: Simplify right side
    314.28x = 78,699.20
  5. Step 5: Solve for x
    x = 78,699.20/314.28
  6. Step 6: Final answer
    x = 250.41

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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.