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Finding the Fourth Proportional to 176.34, 265.73 and 166.08

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Solution

The fourth proportional to 176.34, 265.73 and 166.08 is: 250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.34 : 265.73 = 166.08 : x
  2. Step 2: Convert to fraction form
    176.34/265.73 = 166.08/x
  3. Step 3: Cross multiply
    176.34x = 265.73 × 166.08
  4. Step 4: Simplify right side
    176.34x = 44,132.44
  5. Step 5: Solve for x
    x = 44,132.44/176.34
  6. Step 6: Final answer
    x = 250.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.