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Finding the Fourth Proportional to 305.69, 421.81 and 174.65

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Solution

The fourth proportional to 305.69, 421.81 and 174.65 is: 240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.69 : 421.81 = 174.65 : x
  2. Step 2: Convert to fraction form
    305.69/421.81 = 174.65/x
  3. Step 3: Cross multiply
    305.69x = 421.81 × 174.65
  4. Step 4: Simplify right side
    305.69x = 73,666.57
  5. Step 5: Solve for x
    x = 73,666.57/305.69
  6. Step 6: Final answer
    x = 240.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.