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Finding the Fourth Proportional to 314.14, 433.50 and 183.14

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Solution

The fourth proportional to 314.14, 433.50 and 183.14 is: 252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.14 : 433.50 = 183.14 : x
  2. Step 2: Convert to fraction form
    314.14/433.50 = 183.14/x
  3. Step 3: Cross multiply
    314.14x = 433.50 × 183.14
  4. Step 4: Simplify right side
    314.14x = 79,391.19
  5. Step 5: Solve for x
    x = 79,391.19/314.14
  6. Step 6: Final answer
    x = 252.73

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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.