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Finding the Fourth Proportional to 273.59, 407.87 and 242.61

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Solution

The fourth proportional to 273.59, 407.87 and 242.61 is: 361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.59 : 407.87 = 242.61 : x
  2. Step 2: Convert to fraction form
    273.59/407.87 = 242.61/x
  3. Step 3: Cross multiply
    273.59x = 407.87 × 242.61
  4. Step 4: Simplify right side
    273.59x = 98,951.51
  5. Step 5: Solve for x
    x = 98,951.51/273.59
  6. Step 6: Final answer
    x = 361.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.