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Finding the Fourth Proportional to 291.02, 401.62 and 160.03

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Solution

The fourth proportional to 291.02, 401.62 and 160.03 is: 220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.02 : 401.62 = 160.03 : x
  2. Step 2: Convert to fraction form
    291.02/401.62 = 160.03/x
  3. Step 3: Cross multiply
    291.02x = 401.62 × 160.03
  4. Step 4: Simplify right side
    291.02x = 64,270.65
  5. Step 5: Solve for x
    x = 64,270.65/291.02
  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.