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Finding the Fourth Proportional to 242.80, 364.21 and 69.48

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Solution

The fourth proportional to 242.80, 364.21 and 69.48 is: 104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.80 : 364.21 = 69.48 : x
  2. Step 2: Convert to fraction form
    242.80/364.21 = 69.48/x
  3. Step 3: Cross multiply
    242.80x = 364.21 × 69.48
  4. Step 4: Simplify right side
    242.80x = 25,305.53
  5. Step 5: Solve for x
    x = 25,305.53/242.80
  6. Step 6: Final answer
    x = 104.22

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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.