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Finding the Fourth Proportional to 178.76, 266.23 and 177.73

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Solution

The fourth proportional to 178.76, 266.23 and 177.73 is: 264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.76 : 266.23 = 177.73 : x
  2. Step 2: Convert to fraction form
    178.76/266.23 = 177.73/x
  3. Step 3: Cross multiply
    178.76x = 266.23 × 177.73
  4. Step 4: Simplify right side
    178.76x = 47,317.06
  5. Step 5: Solve for x
    x = 47,317.06/178.76
  6. Step 6: Final answer
    x = 264.70

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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.