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Finding the Fourth Proportional to 178.17, 265.41 and 166.96

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Solution

The fourth proportional to 178.17, 265.41 and 166.96 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.17 : 265.41 = 166.96 : x
  2. Step 2: Convert to fraction form
    178.17/265.41 = 166.96/x
  3. Step 3: Cross multiply
    178.17x = 265.41 × 166.96
  4. Step 4: Simplify right side
    178.17x = 44,313.19
  5. Step 5: Solve for x
    x = 44,313.19/178.17
  6. Step 6: Final answer
    x = 248.72

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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.