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Finding the Fourth Proportional to 305.83, 458.11 and 161.65

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Solution

The fourth proportional to 305.83, 458.11 and 161.65 is: 242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.83 : 458.11 = 161.65 : x
  2. Step 2: Convert to fraction form
    305.83/458.11 = 161.65/x
  3. Step 3: Cross multiply
    305.83x = 458.11 × 161.65
  4. Step 4: Simplify right side
    305.83x = 74,053.48
  5. Step 5: Solve for x
    x = 74,053.48/305.83
  6. Step 6: Final answer
    x = 242.14

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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.