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Finding the Fourth Proportional to 235.72, 325.50 and 202.78

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Solution

The fourth proportional to 235.72, 325.50 and 202.78 is: 280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.72 : 325.50 = 202.78 : x
  2. Step 2: Convert to fraction form
    235.72/325.50 = 202.78/x
  3. Step 3: Cross multiply
    235.72x = 325.50 × 202.78
  4. Step 4: Simplify right side
    235.72x = 66,004.89
  5. Step 5: Solve for x
    x = 66,004.89/235.72
  6. Step 6: Final answer
    x = 280.01

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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.