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Finding the Fourth Proportional to 291.47, 402.23 and 160.47

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Solution

The fourth proportional to 291.47, 402.23 and 160.47 is: 221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.47 : 402.23 = 160.47 : x
  2. Step 2: Convert to fraction form
    291.47/402.23 = 160.47/x
  3. Step 3: Cross multiply
    291.47x = 402.23 × 160.47
  4. Step 4: Simplify right side
    291.47x = 64,546.25
  5. Step 5: Solve for x
    x = 64,546.25/291.47
  6. Step 6: Final answer
    x = 221.45

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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.