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Finding the Fourth Proportional to 160.44, 219.51 and 159.76

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Solution

The fourth proportional to 160.44, 219.51 and 159.76 is: 218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.44 : 219.51 = 159.76 : x
  2. Step 2: Convert to fraction form
    160.44/219.51 = 159.76/x
  3. Step 3: Cross multiply
    160.44x = 219.51 × 159.76
  4. Step 4: Simplify right side
    160.44x = 35,068.92
  5. Step 5: Solve for x
    x = 35,068.92/160.44
  6. Step 6: Final answer
    x = 218.58

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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.