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Finding the Fourth Proportional to 147.12, 203.88 and 144.24

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Solution

The fourth proportional to 147.12, 203.88 and 144.24 is: 199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.12 : 203.88 = 144.24 : x
  2. Step 2: Convert to fraction form
    147.12/203.88 = 144.24/x
  3. Step 3: Cross multiply
    147.12x = 203.88 × 144.24
  4. Step 4: Simplify right side
    147.12x = 29,407.65
  5. Step 5: Solve for x
    x = 29,407.65/147.12
  6. Step 6: Final answer
    x = 199.89

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.