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Finding the Fourth Proportional to 314.45, 433.88 and 183.42

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Solution

The fourth proportional to 314.45, 433.88 and 183.42 is: 253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.45 : 433.88 = 183.42 : x
  2. Step 2: Convert to fraction form
    314.45/433.88 = 183.42/x
  3. Step 3: Cross multiply
    314.45x = 433.88 × 183.42
  4. Step 4: Simplify right side
    314.45x = 79,581.35
  5. Step 5: Solve for x
    x = 79,581.35/314.45
  6. Step 6: Final answer
    x = 253.09

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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.