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Finding the Fourth Proportional to 252.02, 377.75 and 114.80

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Solution

The fourth proportional to 252.02, 377.75 and 114.80 is: 172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.02 : 377.75 = 114.80 : x
  2. Step 2: Convert to fraction form
    252.02/377.75 = 114.80/x
  3. Step 3: Cross multiply
    252.02x = 377.75 × 114.80
  4. Step 4: Simplify right side
    252.02x = 43,363.24
  5. Step 5: Solve for x
    x = 43,363.24/252.02
  6. Step 6: Final answer
    x = 172.07

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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.