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Finding the Fourth Proportional to 305.45, 458.15 and 99.99

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Solution

The fourth proportional to 305.45, 458.15 and 99.99 is: 149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.45 : 458.15 = 99.99 : x
  2. Step 2: Convert to fraction form
    305.45/458.15 = 99.99/x
  3. Step 3: Cross multiply
    305.45x = 458.15 × 99.99
  4. Step 4: Simplify right side
    305.45x = 45,808.13
  5. Step 5: Solve for x
    x = 45,808.13/305.45
  6. Step 6: Final answer
    x = 149.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.