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Finding the Fourth Proportional to 243.02, 363.84 and 185.46

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Solution

The fourth proportional to 243.02, 363.84 and 185.46 is: 277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.02 : 363.84 = 185.46 : x
  2. Step 2: Convert to fraction form
    243.02/363.84 = 185.46/x
  3. Step 3: Cross multiply
    243.02x = 363.84 × 185.46
  4. Step 4: Simplify right side
    243.02x = 67,477.77
  5. Step 5: Solve for x
    x = 67,477.77/243.02
  6. Step 6: Final answer
    x = 277.66

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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.