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Finding the Fourth Proportional to 178.80, 266.89 and 166.64

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Solution

The fourth proportional to 178.80, 266.89 and 166.64 is: 248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.80 : 266.89 = 166.64 : x
  2. Step 2: Convert to fraction form
    178.80/266.89 = 166.64/x
  3. Step 3: Cross multiply
    178.80x = 266.89 × 166.64
  4. Step 4: Simplify right side
    178.80x = 44,474.55
  5. Step 5: Solve for x
    x = 44,474.55/178.80
  6. Step 6: Final answer
    x = 248.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.