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Finding the Fourth Proportional to 273.80, 410.96 and 152.32

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Solution

The fourth proportional to 273.80, 410.96 and 152.32 is: 228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.80 : 410.96 = 152.32 : x
  2. Step 2: Convert to fraction form
    273.80/410.96 = 152.32/x
  3. Step 3: Cross multiply
    273.80x = 410.96 × 152.32
  4. Step 4: Simplify right side
    273.80x = 62,597.43
  5. Step 5: Solve for x
    x = 62,597.43/273.80
  6. Step 6: Final answer
    x = 228.62

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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.