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Finding the Fourth Proportional to 240.64, 360.96 and 154.88

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Solution

The fourth proportional to 240.64, 360.96 and 154.88 is: 232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.64 : 360.96 = 154.88 : x
  2. Step 2: Convert to fraction form
    240.64/360.96 = 154.88/x
  3. Step 3: Cross multiply
    240.64x = 360.96 × 154.88
  4. Step 4: Simplify right side
    240.64x = 55,905.48
  5. Step 5: Solve for x
    x = 55,905.48/240.64
  6. Step 6: Final answer
    x = 232.32

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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.