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Finding the Fourth Proportional to 330.52, 495.98 and 202

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Solution

The fourth proportional to 330.52, 495.98 and 202 is: 303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.52 : 495.98 = 202 : x
  2. Step 2: Convert to fraction form
    330.52/495.98 = 202/x
  3. Step 3: Cross multiply
    330.52x = 495.98 × 202
  4. Step 4: Simplify right side
    330.52x = 100,187.96
  5. Step 5: Solve for x
    x = 100,187.96/330.52
  6. Step 6: Final answer
    x = 303.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.