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Finding the Fourth Proportional to 146.16, 201.96 and 120.24

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Solution

The fourth proportional to 146.16, 201.96 and 120.24 is: 166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.16 : 201.96 = 120.24 : x
  2. Step 2: Convert to fraction form
    146.16/201.96 = 120.24/x
  3. Step 3: Cross multiply
    146.16x = 201.96 × 120.24
  4. Step 4: Simplify right side
    146.16x = 24,283.67
  5. Step 5: Solve for x
    x = 24,283.67/146.16
  6. Step 6: Final answer
    x = 166.14

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Why These Related Problems?

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