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Finding the Fourth Proportional to 177.73, 264.88 and 177.46

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Solution

The fourth proportional to 177.73, 264.88 and 177.46 is: 264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.73 : 264.88 = 177.46 : x
  2. Step 2: Convert to fraction form
    177.73/264.88 = 177.46/x
  3. Step 3: Cross multiply
    177.73x = 264.88 × 177.46
  4. Step 4: Simplify right side
    177.73x = 47,006.05
  5. Step 5: Solve for x
    x = 47,006.05/177.73
  6. Step 6: Final answer
    x = 264.48

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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.