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Finding the Fourth Proportional to 144.76, 217.32 and 144.04

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Solution

The fourth proportional to 144.76, 217.32 and 144.04 is: 216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.76 : 217.32 = 144.04 : x
  2. Step 2: Convert to fraction form
    144.76/217.32 = 144.04/x
  3. Step 3: Cross multiply
    144.76x = 217.32 × 144.04
  4. Step 4: Simplify right side
    144.76x = 31,302.77
  5. Step 5: Solve for x
    x = 31,302.77/144.76
  6. Step 6: Final answer
    x = 216.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.