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Finding the Fourth Proportional to 363.77, 502.50 and 266.07

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Solution

The fourth proportional to 363.77, 502.50 and 266.07 is: 367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.77 : 502.50 = 266.07 : x
  2. Step 2: Convert to fraction form
    363.77/502.50 = 266.07/x
  3. Step 3: Cross multiply
    363.77x = 502.50 × 266.07
  4. Step 4: Simplify right side
    363.77x = 133,700.18
  5. Step 5: Solve for x
    x = 133,700.18/363.77
  6. Step 6: Final answer
    x = 367.54

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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.