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Finding the Fourth Proportional to 159.01, 219.32 and 145.94

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Solution

The fourth proportional to 159.01, 219.32 and 145.94 is: 201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.01 : 219.32 = 145.94 : x
  2. Step 2: Convert to fraction form
    159.01/219.32 = 145.94/x
  3. Step 3: Cross multiply
    159.01x = 219.32 × 145.94
  4. Step 4: Simplify right side
    159.01x = 32,005.73
  5. Step 5: Solve for x
    x = 32,005.73/159.01
  6. Step 6: Final answer
    x = 201.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.