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Finding the Fourth Proportional to 243.65, 366.08 and 171.96

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Solution

The fourth proportional to 243.65, 366.08 and 171.96 is: 258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.65 : 366.08 = 171.96 : x
  2. Step 2: Convert to fraction form
    243.65/366.08 = 171.96/x
  3. Step 3: Cross multiply
    243.65x = 366.08 × 171.96
  4. Step 4: Simplify right side
    243.65x = 62,950.26
  5. Step 5: Solve for x
    x = 62,950.26/243.65
  6. Step 6: Final answer
    x = 258.37

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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.