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Finding the Fourth Proportional to 273.94, 410.92 and 152.98

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Solution

The fourth proportional to 273.94, 410.92 and 152.98 is: 229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.94 : 410.92 = 152.98 : x
  2. Step 2: Convert to fraction form
    273.94/410.92 = 152.98/x
  3. Step 3: Cross multiply
    273.94x = 410.92 × 152.98
  4. Step 4: Simplify right side
    273.94x = 62,860.10
  5. Step 5: Solve for x
    x = 62,860.10/273.94
  6. Step 6: Final answer
    x = 229.46

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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.