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Finding the Fourth Proportional to 291.02, 401.60 and 160.04

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Solution

The fourth proportional to 291.02, 401.60 and 160.04 is: 220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.02 : 401.60 = 160.04 : x
  2. Step 2: Convert to fraction form
    291.02/401.60 = 160.04/x
  3. Step 3: Cross multiply
    291.02x = 401.60 × 160.04
  4. Step 4: Simplify right side
    291.02x = 64,272.06
  5. Step 5: Solve for x
    x = 64,272.06/291.02
  6. Step 6: Final answer
    x = 220.85

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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.