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Finding the Fourth Proportional to 291.90, 402.81 and 160.91

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Solution

The fourth proportional to 291.90, 402.81 and 160.91 is: 222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.90 : 402.81 = 160.91 : x
  2. Step 2: Convert to fraction form
    291.90/402.81 = 160.91/x
  3. Step 3: Cross multiply
    291.90x = 402.81 × 160.91
  4. Step 4: Simplify right side
    291.90x = 64,816.16
  5. Step 5: Solve for x
    x = 64,816.16/291.90
  6. Step 6: Final answer
    x = 222.05

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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.