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Finding the Fourth Proportional to 291.01, 401.60 and 160.03

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Solution

The fourth proportional to 291.01, 401.60 and 160.03 is: 220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.01 : 401.60 = 160.03 : x
  2. Step 2: Convert to fraction form
    291.01/401.60 = 160.03/x
  3. Step 3: Cross multiply
    291.01x = 401.60 × 160.03
  4. Step 4: Simplify right side
    291.01x = 64,268.05
  5. Step 5: Solve for x
    x = 64,268.05/291.01
  6. Step 6: Final answer
    x = 220.84

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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.