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Finding the Fourth Proportional to 270.90, 373.82 and 160.40

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Solution

The fourth proportional to 270.90, 373.82 and 160.40 is: 221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.90 : 373.82 = 160.40 : x
  2. Step 2: Convert to fraction form
    270.90/373.82 = 160.40/x
  3. Step 3: Cross multiply
    270.90x = 373.82 × 160.40
  4. Step 4: Simplify right side
    270.90x = 59,958.06
  5. Step 5: Solve for x
    x = 59,958.06/270.90
  6. Step 6: Final answer
    x = 221.33

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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.