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Finding the Fourth Proportional to 176.02, 265.26 and 165.76

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Solution

The fourth proportional to 176.02, 265.26 and 165.76 is: 249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.02 : 265.26 = 165.76 : x
  2. Step 2: Convert to fraction form
    176.02/265.26 = 165.76/x
  3. Step 3: Cross multiply
    176.02x = 265.26 × 165.76
  4. Step 4: Simplify right side
    176.02x = 43,969.50
  5. Step 5: Solve for x
    x = 43,969.50/176.02
  6. Step 6: Final answer
    x = 249.80

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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.