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Finding the Fourth Proportional to 314.20, 433.56 and 183.24

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Solution

The fourth proportional to 314.20, 433.56 and 183.24 is: 252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.20 : 433.56 = 183.24 : x
  2. Step 2: Convert to fraction form
    314.20/433.56 = 183.24/x
  3. Step 3: Cross multiply
    314.20x = 433.56 × 183.24
  4. Step 4: Simplify right side
    314.20x = 79,445.53
  5. Step 5: Solve for x
    x = 79,445.53/314.20
  6. Step 6: Final answer
    x = 252.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.