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Finding the Fourth Proportional to 243.57, 365.08 and 145.99

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Solution

The fourth proportional to 243.57, 365.08 and 145.99 is: 218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.57 : 365.08 = 145.99 : x
  2. Step 2: Convert to fraction form
    243.57/365.08 = 145.99/x
  3. Step 3: Cross multiply
    243.57x = 365.08 × 145.99
  4. Step 4: Simplify right side
    243.57x = 53,298.03
  5. Step 5: Solve for x
    x = 53,298.03/243.57
  6. Step 6: Final answer
    x = 218.82

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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.