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Finding the Fourth Proportional to 160.78, 240.68 and 146.20

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Solution

The fourth proportional to 160.78, 240.68 and 146.20 is: 218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.78 : 240.68 = 146.20 : x
  2. Step 2: Convert to fraction form
    160.78/240.68 = 146.20/x
  3. Step 3: Cross multiply
    160.78x = 240.68 × 146.20
  4. Step 4: Simplify right side
    160.78x = 35,187.42
  5. Step 5: Solve for x
    x = 35,187.42/160.78
  6. Step 6: Final answer
    x = 218.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.