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Finding the Fourth Proportional to 273.76, 410.88 and 237.76

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Solution

The fourth proportional to 273.76, 410.88 and 237.76 is: 356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.76 : 410.88 = 237.76 : x
  2. Step 2: Convert to fraction form
    273.76/410.88 = 237.76/x
  3. Step 3: Cross multiply
    273.76x = 410.88 × 237.76
  4. Step 4: Simplify right side
    273.76x = 97,690.83
  5. Step 5: Solve for x
    x = 97,690.83/273.76
  6. Step 6: Final answer
    x = 356.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.