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Finding the Fourth Proportional to 305.53, 458.01 and 99.96

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Solution

The fourth proportional to 305.53, 458.01 and 99.96 is: 149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.53 : 458.01 = 99.96 : x
  2. Step 2: Convert to fraction form
    305.53/458.01 = 99.96/x
  3. Step 3: Cross multiply
    305.53x = 458.01 × 99.96
  4. Step 4: Simplify right side
    305.53x = 45,782.68
  5. Step 5: Solve for x
    x = 45,782.68/305.53
  6. Step 6: Final answer
    x = 149.85

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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.