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Finding the Fourth Proportional to 291.06, 401.64 and 160.06

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Solution

The fourth proportional to 291.06, 401.64 and 160.06 is: 220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.06 : 401.64 = 160.06 : x
  2. Step 2: Convert to fraction form
    291.06/401.64 = 160.06/x
  3. Step 3: Cross multiply
    291.06x = 401.64 × 160.06
  4. Step 4: Simplify right side
    291.06x = 64,286.50
  5. Step 5: Solve for x
    x = 64,286.50/291.06
  6. Step 6: Final answer
    x = 220.87

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Why These Related Problems?

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