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Finding the Fourth Proportional to 313.10, 432.02 and 182.04

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Solution

The fourth proportional to 313.10, 432.02 and 182.04 is: 251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.10 : 432.02 = 182.04 : x
  2. Step 2: Convert to fraction form
    313.10/432.02 = 182.04/x
  3. Step 3: Cross multiply
    313.10x = 432.02 × 182.04
  4. Step 4: Simplify right side
    313.10x = 78,644.92
  5. Step 5: Solve for x
    x = 78,644.92/313.10
  6. Step 6: Final answer
    x = 251.18

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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.