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Finding the Fourth Proportional to 239.14, 358.67 and 65.77

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Solution

The fourth proportional to 239.14, 358.67 and 65.77 is: 98.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.14 : 358.67 = 65.77 : x
  2. Step 2: Convert to fraction form
    239.14/358.67 = 65.77/x
  3. Step 3: Cross multiply
    239.14x = 358.67 × 65.77
  4. Step 4: Simplify right side
    239.14x = 23,588.58
  5. Step 5: Solve for x
    x = 23,588.58/239.14
  6. Step 6: Final answer
    x = 98.64

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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.