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Finding the Fourth Proportional to 159.72, 219.21 and 145.80

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Solution

The fourth proportional to 159.72, 219.21 and 145.80 is: 200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.72 : 219.21 = 145.80 : x
  2. Step 2: Convert to fraction form
    159.72/219.21 = 145.80/x
  3. Step 3: Cross multiply
    159.72x = 219.21 × 145.80
  4. Step 4: Simplify right side
    159.72x = 31,960.82
  5. Step 5: Solve for x
    x = 31,960.82/159.72
  6. Step 6: Final answer
    x = 200.11

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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.