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Finding the Fourth Proportional to 366.20, 505.28 and 266.78

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Solution

The fourth proportional to 366.20, 505.28 and 266.78 is: 368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.20 : 505.28 = 266.78 : x
  2. Step 2: Convert to fraction form
    366.20/505.28 = 266.78/x
  3. Step 3: Cross multiply
    366.20x = 505.28 × 266.78
  4. Step 4: Simplify right side
    366.20x = 134,798.60
  5. Step 5: Solve for x
    x = 134,798.60/366.20
  6. Step 6: Final answer
    x = 368.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.