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Finding the Fourth Proportional to 324.59, 486.10 and 178.12

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Solution

The fourth proportional to 324.59, 486.10 and 178.12 is: 266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.59 : 486.10 = 178.12 : x
  2. Step 2: Convert to fraction form
    324.59/486.10 = 178.12/x
  3. Step 3: Cross multiply
    324.59x = 486.10 × 178.12
  4. Step 4: Simplify right side
    324.59x = 86,580.81
  5. Step 5: Solve for x
    x = 86,580.81/324.59
  6. Step 6: Final answer
    x = 266.74

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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.