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Finding the Fourth Proportional to 324.65, 487.72 and 188.03

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Solution

The fourth proportional to 324.65, 487.72 and 188.03 is: 282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.65 : 487.72 = 188.03 : x
  2. Step 2: Convert to fraction form
    324.65/487.72 = 188.03/x
  3. Step 3: Cross multiply
    324.65x = 487.72 × 188.03
  4. Step 4: Simplify right side
    324.65x = 91,705.99
  5. Step 5: Solve for x
    x = 91,705.99/324.65
  6. Step 6: Final answer
    x = 282.48

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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.