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Finding the Fourth Proportional to 243.02, 364.11 and 146.63

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Solution

The fourth proportional to 243.02, 364.11 and 146.63 is: 219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.02 : 364.11 = 146.63 : x
  2. Step 2: Convert to fraction form
    243.02/364.11 = 146.63/x
  3. Step 3: Cross multiply
    243.02x = 364.11 × 146.63
  4. Step 4: Simplify right side
    243.02x = 53,387.63
  5. Step 5: Solve for x
    x = 53,387.63/243.02
  6. Step 6: Final answer
    x = 219.69

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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.