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Finding the Fourth Proportional to 243.67, 336.30 and 145.51

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Solution

The fourth proportional to 243.67, 336.30 and 145.51 is: 200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.67 : 336.30 = 145.51 : x
  2. Step 2: Convert to fraction form
    243.67/336.30 = 145.51/x
  3. Step 3: Cross multiply
    243.67x = 336.30 × 145.51
  4. Step 4: Simplify right side
    243.67x = 48,935.01
  5. Step 5: Solve for x
    x = 48,935.01/243.67
  6. Step 6: Final answer
    x = 200.82

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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.