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Finding the Fourth Proportional to 313.75, 433.00 and 175.75

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Solution

The fourth proportional to 313.75, 433.00 and 175.75 is: 242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.75 : 433.00 = 175.75 : x
  2. Step 2: Convert to fraction form
    313.75/433.00 = 175.75/x
  3. Step 3: Cross multiply
    313.75x = 433.00 × 175.75
  4. Step 4: Simplify right side
    313.75x = 76,098.87
  5. Step 5: Solve for x
    x = 76,098.87/313.75
  6. Step 6: Final answer
    x = 242.55

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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.