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Finding the Fourth Proportional to 177.29, 263.95 and 176.44

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Solution

The fourth proportional to 177.29, 263.95 and 176.44 is: 262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.29 : 263.95 = 176.44 : x
  2. Step 2: Convert to fraction form
    177.29/263.95 = 176.44/x
  3. Step 3: Cross multiply
    177.29x = 263.95 × 176.44
  4. Step 4: Simplify right side
    177.29x = 46,570.02
  5. Step 5: Solve for x
    x = 46,570.02/177.29
  6. Step 6: Final answer
    x = 262.68

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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.