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Finding the Fourth Proportional to 177.23, 264.15 and 176.96

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Solution

The fourth proportional to 177.23, 264.15 and 176.96 is: 263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.23 : 264.15 = 176.96 : x
  2. Step 2: Convert to fraction form
    177.23/264.15 = 176.96/x
  3. Step 3: Cross multiply
    177.23x = 264.15 × 176.96
  4. Step 4: Simplify right side
    177.23x = 46,743.98
  5. Step 5: Solve for x
    x = 46,743.98/177.23
  6. Step 6: Final answer
    x = 263.75

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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.