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Finding the Fourth Proportional to 314.45, 433.74 and 221.19

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Solution

The fourth proportional to 314.45, 433.74 and 221.19 is: 305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.45 : 433.74 = 221.19 : x
  2. Step 2: Convert to fraction form
    314.45/433.74 = 221.19/x
  3. Step 3: Cross multiply
    314.45x = 433.74 × 221.19
  4. Step 4: Simplify right side
    314.45x = 95,938.95
  5. Step 5: Solve for x
    x = 95,938.95/314.45
  6. Step 6: Final answer
    x = 305.10

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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.