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Finding the Fourth Proportional to 314.19, 433.55 and 181.37

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Solution

The fourth proportional to 314.19, 433.55 and 181.37 is: 250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.19 : 433.55 = 181.37 : x
  2. Step 2: Convert to fraction form
    314.19/433.55 = 181.37/x
  3. Step 3: Cross multiply
    314.19x = 433.55 × 181.37
  4. Step 4: Simplify right side
    314.19x = 78,634.50
  5. Step 5: Solve for x
    x = 78,634.50/314.19
  6. Step 6: Final answer
    x = 250.28

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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.