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Finding the Fourth Proportional to 367.94, 507.77 and 202.16

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Solution

The fourth proportional to 367.94, 507.77 and 202.16 is: 278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.94 : 507.77 = 202.16 : x
  2. Step 2: Convert to fraction form
    367.94/507.77 = 202.16/x
  3. Step 3: Cross multiply
    367.94x = 507.77 × 202.16
  4. Step 4: Simplify right side
    367.94x = 102,647.23
  5. Step 5: Solve for x
    x = 102,647.23/367.94
  6. Step 6: Final answer
    x = 278.98

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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.