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Finding the Fourth Proportional to 242.56, 363.84 and 96.40

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Solution

The fourth proportional to 242.56, 363.84 and 96.40 is: 144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.56 : 363.84 = 96.40 : x
  2. Step 2: Convert to fraction form
    242.56/363.84 = 96.40/x
  3. Step 3: Cross multiply
    242.56x = 363.84 × 96.40
  4. Step 4: Simplify right side
    242.56x = 35,074.18
  5. Step 5: Solve for x
    x = 35,074.18/242.56
  6. Step 6: Final answer
    x = 144.60

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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.