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Finding the Fourth Proportional to 305.33, 456.84 and 202.86

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Solution

The fourth proportional to 305.33, 456.84 and 202.86 is: 303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.33 : 456.84 = 202.86 : x
  2. Step 2: Convert to fraction form
    305.33/456.84 = 202.86/x
  3. Step 3: Cross multiply
    305.33x = 456.84 × 202.86
  4. Step 4: Simplify right side
    305.33x = 92,674.56
  5. Step 5: Solve for x
    x = 92,674.56/305.33
  6. Step 6: Final answer
    x = 303.53

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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.