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Finding the Fourth Proportional to 305.90, 458.76 and 161.54

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Solution

The fourth proportional to 305.90, 458.76 and 161.54 is: 242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.90 : 458.76 = 161.54 : x
  2. Step 2: Convert to fraction form
    305.90/458.76 = 161.54/x
  3. Step 3: Cross multiply
    305.90x = 458.76 × 161.54
  4. Step 4: Simplify right side
    305.90x = 74,108.09
  5. Step 5: Solve for x
    x = 74,108.09/305.90
  6. Step 6: Final answer
    x = 242.26

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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.