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Finding the Fourth Proportional to 330.51, 495.83 and 99.37

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Solution

The fourth proportional to 330.51, 495.83 and 99.37 is: 149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.51 : 495.83 = 99.37 : x
  2. Step 2: Convert to fraction form
    330.51/495.83 = 99.37/x
  3. Step 3: Cross multiply
    330.51x = 495.83 × 99.37
  4. Step 4: Simplify right side
    330.51x = 49,270.63
  5. Step 5: Solve for x
    x = 49,270.63/330.51
  6. Step 6: Final answer
    x = 149.07

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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.