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Finding the Fourth Proportional to 239.34, 330.19 and 146.05

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Solution

The fourth proportional to 239.34, 330.19 and 146.05 is: 201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.34 : 330.19 = 146.05 : x
  2. Step 2: Convert to fraction form
    239.34/330.19 = 146.05/x
  3. Step 3: Cross multiply
    239.34x = 330.19 × 146.05
  4. Step 4: Simplify right side
    239.34x = 48,225.74
  5. Step 5: Solve for x
    x = 48,225.74/239.34
  6. Step 6: Final answer
    x = 201.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.