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Finding the Fourth Proportional to 242.79, 364.27 and 127.16

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Solution

The fourth proportional to 242.79, 364.27 and 127.16 is: 190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.79 : 364.27 = 127.16 : x
  2. Step 2: Convert to fraction form
    242.79/364.27 = 127.16/x
  3. Step 3: Cross multiply
    242.79x = 364.27 × 127.16
  4. Step 4: Simplify right side
    242.79x = 46,320.57
  5. Step 5: Solve for x
    x = 46,320.57/242.79
  6. Step 6: Final answer
    x = 190.78

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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.