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Finding the Fourth Proportional to 167.74, 251.60 and 46.00

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Solution

The fourth proportional to 167.74, 251.60 and 46.00 is: 68.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.74 : 251.60 = 46.00 : x
  2. Step 2: Convert to fraction form
    167.74/251.60 = 46.00/x
  3. Step 3: Cross multiply
    167.74x = 251.60 × 46.00
  4. Step 4: Simplify right side
    167.74x = 11,572.34
  5. Step 5: Solve for x
    x = 11,572.34/167.74
  6. Step 6: Final answer
    x = 68.99

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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.