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Finding the Fourth Proportional to 324.16, 485.46 and 177.55

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Solution

The fourth proportional to 324.16, 485.46 and 177.55 is: 265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 485.46 = 177.55 : x
  2. Step 2: Convert to fraction form
    324.16/485.46 = 177.55/x
  3. Step 3: Cross multiply
    324.16x = 485.46 × 177.55
  4. Step 4: Simplify right side
    324.16x = 86,192.21
  5. Step 5: Solve for x
    x = 86,192.21/324.16
  6. Step 6: Final answer
    x = 265.90

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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.