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Finding the Fourth Proportional to 166.87, 230.16 and 153.10

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Solution

The fourth proportional to 166.87, 230.16 and 153.10 is: 211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.87 : 230.16 = 153.10 : x
  2. Step 2: Convert to fraction form
    166.87/230.16 = 153.10/x
  3. Step 3: Cross multiply
    166.87x = 230.16 × 153.10
  4. Step 4: Simplify right side
    166.87x = 35,237.11
  5. Step 5: Solve for x
    x = 35,237.11/166.87
  6. Step 6: Final answer
    x = 211.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.