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Finding the Fourth Proportional to 270.53, 373.27 and 160

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Solution

The fourth proportional to 270.53, 373.27 and 160 is: 220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.53 : 373.27 = 160 : x
  2. Step 2: Convert to fraction form
    270.53/373.27 = 160/x
  3. Step 3: Cross multiply
    270.53x = 373.27 × 160
  4. Step 4: Simplify right side
    270.53x = 59,723.20
  5. Step 5: Solve for x
    x = 59,723.20/270.53
  6. Step 6: Final answer
    x = 220.76

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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.