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Finding the Fourth Proportional to 239.74, 330.14 and 165.93

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Solution

The fourth proportional to 239.74, 330.14 and 165.93 is: 228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.74 : 330.14 = 165.93 : x
  2. Step 2: Convert to fraction form
    239.74/330.14 = 165.93/x
  3. Step 3: Cross multiply
    239.74x = 330.14 × 165.93
  4. Step 4: Simplify right side
    239.74x = 54,780.55
  5. Step 5: Solve for x
    x = 54,780.55/239.74
  6. Step 6: Final answer
    x = 228.50

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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.