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Finding the Fourth Proportional to 330.51, 495.55 and 147.66

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Solution

The fourth proportional to 330.51, 495.55 and 147.66 is: 221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.51 : 495.55 = 147.66 : x
  2. Step 2: Convert to fraction form
    330.51/495.55 = 147.66/x
  3. Step 3: Cross multiply
    330.51x = 495.55 × 147.66
  4. Step 4: Simplify right side
    330.51x = 73,171.24
  5. Step 5: Solve for x
    x = 73,171.24/330.51
  6. Step 6: Final answer
    x = 221.39

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