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Finding the Fourth Proportional to 305.51, 458.27 and 89.11

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Solution

The fourth proportional to 305.51, 458.27 and 89.11 is: 133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.51 : 458.27 = 89.11 : x
  2. Step 2: Convert to fraction form
    305.51/458.27 = 89.11/x
  3. Step 3: Cross multiply
    305.51x = 458.27 × 89.11
  4. Step 4: Simplify right side
    305.51x = 40,833.70
  5. Step 5: Solve for x
    x = 40,833.70/305.51
  6. Step 6: Final answer
    x = 133.66

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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.