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Finding the Fourth Proportional to 148.42, 203.51 and 146.62

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Solution

The fourth proportional to 148.42, 203.51 and 146.62 is: 201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.42 : 203.51 = 146.62 : x
  2. Step 2: Convert to fraction form
    148.42/203.51 = 146.62/x
  3. Step 3: Cross multiply
    148.42x = 203.51 × 146.62
  4. Step 4: Simplify right side
    148.42x = 29,838.64
  5. Step 5: Solve for x
    x = 29,838.64/148.42
  6. Step 6: Final answer
    x = 201.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.