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Finding the Fourth Proportional to 270.78, 373.62 and 160.24

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Solution

The fourth proportional to 270.78, 373.62 and 160.24 is: 221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.78 : 373.62 = 160.24 : x
  2. Step 2: Convert to fraction form
    270.78/373.62 = 160.24/x
  3. Step 3: Cross multiply
    270.78x = 373.62 × 160.24
  4. Step 4: Simplify right side
    270.78x = 59,868.87
  5. Step 5: Solve for x
    x = 59,868.87/270.78
  6. Step 6: Final answer
    x = 221.10

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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.