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Finding the Fourth Proportional to 364.80, 547.80 and 243.60

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Solution

The fourth proportional to 364.80, 547.80 and 243.60 is: 365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.80 : 547.80 = 243.60 : x
  2. Step 2: Convert to fraction form
    364.80/547.80 = 243.60/x
  3. Step 3: Cross multiply
    364.80x = 547.80 × 243.60
  4. Step 4: Simplify right side
    364.80x = 133,444.08
  5. Step 5: Solve for x
    x = 133,444.08/364.80
  6. Step 6: Final answer
    x = 365.80

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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.