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Finding the Fourth Proportional to 176.88, 264.21 and 175.44

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Solution

The fourth proportional to 176.88, 264.21 and 175.44 is: 262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 264.21 = 175.44 : x
  2. Step 2: Convert to fraction form
    176.88/264.21 = 175.44/x
  3. Step 3: Cross multiply
    176.88x = 264.21 × 175.44
  4. Step 4: Simplify right side
    176.88x = 46,353.00
  5. Step 5: Solve for x
    x = 46,353.00/176.88
  6. Step 6: Final answer
    x = 262.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.