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Finding the Fourth Proportional to 177.04, 265.16 and 168.54

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Solution

The fourth proportional to 177.04, 265.16 and 168.54 is: 252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.04 : 265.16 = 168.54 : x
  2. Step 2: Convert to fraction form
    177.04/265.16 = 168.54/x
  3. Step 3: Cross multiply
    177.04x = 265.16 × 168.54
  4. Step 4: Simplify right side
    177.04x = 44,690.07
  5. Step 5: Solve for x
    x = 44,690.07/177.04
  6. Step 6: Final answer
    x = 252.43

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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.