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Finding the Fourth Proportional to 291.14, 401.80 and 160.18

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Solution

The fourth proportional to 291.14, 401.80 and 160.18 is: 221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.14 : 401.80 = 160.18 : x
  2. Step 2: Convert to fraction form
    291.14/401.80 = 160.18/x
  3. Step 3: Cross multiply
    291.14x = 401.80 × 160.18
  4. Step 4: Simplify right side
    291.14x = 64,358.92
  5. Step 5: Solve for x
    x = 64,358.92/291.14
  6. Step 6: Final answer
    x = 221.06

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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.