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Finding the Fourth Proportional to 177.02, 264.96 and 168.10

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Solution

The fourth proportional to 177.02, 264.96 and 168.10 is: 251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.02 : 264.96 = 168.10 : x
  2. Step 2: Convert to fraction form
    177.02/264.96 = 168.10/x
  3. Step 3: Cross multiply
    177.02x = 264.96 × 168.10
  4. Step 4: Simplify right side
    177.02x = 44,539.78
  5. Step 5: Solve for x
    x = 44,539.78/177.02
  6. Step 6: Final answer
    x = 251.61

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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.