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Finding the Fourth Proportional to 491.34, 737.01 and 166.80

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Solution

The fourth proportional to 491.34, 737.01 and 166.80 is: 250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.34 : 737.01 = 166.80 : x
  2. Step 2: Convert to fraction form
    491.34/737.01 = 166.80/x
  3. Step 3: Cross multiply
    491.34x = 737.01 × 166.80
  4. Step 4: Simplify right side
    491.34x = 122,933.27
  5. Step 5: Solve for x
    x = 122,933.27/491.34
  6. Step 6: Final answer
    x = 250.20

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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.