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Finding the Fourth Proportional to 148.32, 203.04 and 145.44

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Solution

The fourth proportional to 148.32, 203.04 and 145.44 is: 199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.32 : 203.04 = 145.44 : x
  2. Step 2: Convert to fraction form
    148.32/203.04 = 145.44/x
  3. Step 3: Cross multiply
    148.32x = 203.04 × 145.44
  4. Step 4: Simplify right side
    148.32x = 29,530.14
  5. Step 5: Solve for x
    x = 29,530.14/148.32
  6. Step 6: Final answer
    x = 199.10

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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.