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Finding the Fourth Proportional to 325.60, 487.62 and 178.98

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Solution

The fourth proportional to 325.60, 487.62 and 178.98 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.60 : 487.62 = 178.98 : x
  2. Step 2: Convert to fraction form
    325.60/487.62 = 178.98/x
  3. Step 3: Cross multiply
    325.60x = 487.62 × 178.98
  4. Step 4: Simplify right side
    325.60x = 87,274.23
  5. Step 5: Solve for x
    x = 87,274.23/325.60
  6. Step 6: Final answer
    x = 268.04

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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.