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Finding the Fourth Proportional to 367.86, 507.62 and 202.08

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Solution

The fourth proportional to 367.86, 507.62 and 202.08 is: 278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.86 : 507.62 = 202.08 : x
  2. Step 2: Convert to fraction form
    367.86/507.62 = 202.08/x
  3. Step 3: Cross multiply
    367.86x = 507.62 × 202.08
  4. Step 4: Simplify right side
    367.86x = 102,579.85
  5. Step 5: Solve for x
    x = 102,579.85/367.86
  6. Step 6: Final answer
    x = 278.86

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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.