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Finding the Fourth Proportional to 160.56, 241.89 and 135.45

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Solution

The fourth proportional to 160.56, 241.89 and 135.45 is: 204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.56 : 241.89 = 135.45 : x
  2. Step 2: Convert to fraction form
    160.56/241.89 = 135.45/x
  3. Step 3: Cross multiply
    160.56x = 241.89 × 135.45
  4. Step 4: Simplify right side
    160.56x = 32,764.00
  5. Step 5: Solve for x
    x = 32,764.00/160.56
  6. Step 6: Final answer
    x = 204.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.