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Finding the Fourth Proportional to 242.66, 364.14 and 96.39

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Solution

The fourth proportional to 242.66, 364.14 and 96.39 is: 144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.66 : 364.14 = 96.39 : x
  2. Step 2: Convert to fraction form
    242.66/364.14 = 96.39/x
  3. Step 3: Cross multiply
    242.66x = 364.14 × 96.39
  4. Step 4: Simplify right side
    242.66x = 35,098.09
  5. Step 5: Solve for x
    x = 35,098.09/242.66
  6. Step 6: Final answer
    x = 144.64

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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.