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Finding the Fourth Proportional to 305.50, 458.25 and 89.08

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Solution

The fourth proportional to 305.50, 458.25 and 89.08 is: 133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.50 : 458.25 = 89.08 : x
  2. Step 2: Convert to fraction form
    305.50/458.25 = 89.08/x
  3. Step 3: Cross multiply
    305.50x = 458.25 × 89.08
  4. Step 4: Simplify right side
    305.50x = 40,820.91
  5. Step 5: Solve for x
    x = 40,820.91/305.50
  6. Step 6: Final answer
    x = 133.62

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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.