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Finding the Fourth Proportional to 495.84, 743.85 and 166.75

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Solution

The fourth proportional to 495.84, 743.85 and 166.75 is: 250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.84 : 743.85 = 166.75 : x
  2. Step 2: Convert to fraction form
    495.84/743.85 = 166.75/x
  3. Step 3: Cross multiply
    495.84x = 743.85 × 166.75
  4. Step 4: Simplify right side
    495.84x = 124,033.27
  5. Step 5: Solve for x
    x = 124,033.27/495.84
  6. Step 6: Final answer
    x = 250.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.