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Finding the Fourth Proportional to 291.53, 402.28 and 160.54

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Solution

The fourth proportional to 291.53, 402.28 and 160.54 is: 221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.53 : 402.28 = 160.54 : x
  2. Step 2: Convert to fraction form
    291.53/402.28 = 160.54/x
  3. Step 3: Cross multiply
    291.53x = 402.28 × 160.54
  4. Step 4: Simplify right side
    291.53x = 64,580.62
  5. Step 5: Solve for x
    x = 64,580.62/291.53
  6. Step 6: Final answer
    x = 221.52

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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.