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Finding the Fourth Proportional to 314.15, 433.49 and 183.06

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Solution

The fourth proportional to 314.15, 433.49 and 183.06 is: 252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.15 : 433.49 = 183.06 : x
  2. Step 2: Convert to fraction form
    314.15/433.49 = 183.06/x
  3. Step 3: Cross multiply
    314.15x = 433.49 × 183.06
  4. Step 4: Simplify right side
    314.15x = 79,353.76
  5. Step 5: Solve for x
    x = 79,353.76/314.15
  6. Step 6: Final answer
    x = 252.60

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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.