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Finding the Fourth Proportional to 367.80, 507.55 and 202.00

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Solution

The fourth proportional to 367.80, 507.55 and 202.00 is: 278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.80 : 507.55 = 202.00 : x
  2. Step 2: Convert to fraction form
    367.80/507.55 = 202.00/x
  3. Step 3: Cross multiply
    367.80x = 507.55 × 202.00
  4. Step 4: Simplify right side
    367.80x = 102,526.08
  5. Step 5: Solve for x
    x = 102,526.08/367.80
  6. Step 6: Final answer
    x = 278.76

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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.