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Finding the Fourth Proportional to 243.30, 335.82 and 145.10

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Solution

The fourth proportional to 243.30, 335.82 and 145.10 is: 200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.30 : 335.82 = 145.10 : x
  2. Step 2: Convert to fraction form
    243.30/335.82 = 145.10/x
  3. Step 3: Cross multiply
    243.30x = 335.82 × 145.10
  4. Step 4: Simplify right side
    243.30x = 48,727.48
  5. Step 5: Solve for x
    x = 48,727.48/243.30
  6. Step 6: Final answer
    x = 200.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.