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Finding the Fourth Proportional to 159.29, 220.18 and 146.53

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Solution

The fourth proportional to 159.29, 220.18 and 146.53 is: 202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.29 : 220.18 = 146.53 : x
  2. Step 2: Convert to fraction form
    159.29/220.18 = 146.53/x
  3. Step 3: Cross multiply
    159.29x = 220.18 × 146.53
  4. Step 4: Simplify right side
    159.29x = 32,262.98
  5. Step 5: Solve for x
    x = 32,262.98/159.29
  6. Step 6: Final answer
    x = 202.54

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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.