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Finding the Fourth Proportional to 243.84, 365.28 and 155.76

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Solution

The fourth proportional to 243.84, 365.28 and 155.76 is: 233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.84 : 365.28 = 155.76 : x
  2. Step 2: Convert to fraction form
    243.84/365.28 = 155.76/x
  3. Step 3: Cross multiply
    243.84x = 365.28 × 155.76
  4. Step 4: Simplify right side
    243.84x = 56,896.01
  5. Step 5: Solve for x
    x = 56,896.01/243.84
  6. Step 6: Final answer
    x = 233.33

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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.