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Finding the Fourth Proportional to 242.94, 364.56 and 96.67

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Solution

The fourth proportional to 242.94, 364.56 and 96.67 is: 145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.94 : 364.56 = 96.67 : x
  2. Step 2: Convert to fraction form
    242.94/364.56 = 96.67/x
  3. Step 3: Cross multiply
    242.94x = 364.56 × 96.67
  4. Step 4: Simplify right side
    242.94x = 35,241.10
  5. Step 5: Solve for x
    x = 35,241.10/242.94
  6. Step 6: Final answer
    x = 145.06

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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.