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Finding the Fourth Proportional to 313.00, 431.90 and 180.19

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Solution

The fourth proportional to 313.00, 431.90 and 180.19 is: 248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.00 : 431.90 = 180.19 : x
  2. Step 2: Convert to fraction form
    313.00/431.90 = 180.19/x
  3. Step 3: Cross multiply
    313.00x = 431.90 × 180.19
  4. Step 4: Simplify right side
    313.00x = 77,824.38
  5. Step 5: Solve for x
    x = 77,824.38/313.00
  6. Step 6: Final answer
    x = 248.64

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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.