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Finding the Fourth Proportional to 239.16, 358.64 and 178.68

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Solution

The fourth proportional to 239.16, 358.64 and 178.68 is: 267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.16 : 358.64 = 178.68 : x
  2. Step 2: Convert to fraction form
    239.16/358.64 = 178.68/x
  3. Step 3: Cross multiply
    239.16x = 358.64 × 178.68
  4. Step 4: Simplify right side
    239.16x = 64,081.80
  5. Step 5: Solve for x
    x = 64,081.80/239.16
  6. Step 6: Final answer
    x = 267.95

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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.