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Finding the Fourth Proportional to 270.75, 373.65 and 160.20

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Solution

The fourth proportional to 270.75, 373.65 and 160.20 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.75 : 373.65 = 160.20 : x
  2. Step 2: Convert to fraction form
    270.75/373.65 = 160.20/x
  3. Step 3: Cross multiply
    270.75x = 373.65 × 160.20
  4. Step 4: Simplify right side
    270.75x = 59,858.73
  5. Step 5: Solve for x
    x = 59,858.73/270.75
  6. Step 6: Final answer
    x = 221.08

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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.