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Finding the Fourth Proportional to 176.88, 265.08 and 174.98

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Solution

The fourth proportional to 176.88, 265.08 and 174.98 is: 262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 265.08 = 174.98 : x
  2. Step 2: Convert to fraction form
    176.88/265.08 = 174.98/x
  3. Step 3: Cross multiply
    176.88x = 265.08 × 174.98
  4. Step 4: Simplify right side
    176.88x = 46,383.70
  5. Step 5: Solve for x
    x = 46,383.70/176.88
  6. Step 6: Final answer
    x = 262.23

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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.