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Finding the Fourth Proportional to 273.13, 376.92 and 155.10

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Solution

The fourth proportional to 273.13, 376.92 and 155.10 is: 214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.13 : 376.92 = 155.10 : x
  2. Step 2: Convert to fraction form
    273.13/376.92 = 155.10/x
  3. Step 3: Cross multiply
    273.13x = 376.92 × 155.10
  4. Step 4: Simplify right side
    273.13x = 58,460.29
  5. Step 5: Solve for x
    x = 58,460.29/273.13
  6. Step 6: Final answer
    x = 214.04

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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.