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Finding the Fourth Proportional to 358.86, 495.23 and 207.46

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Solution

The fourth proportional to 358.86, 495.23 and 207.46 is: 286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.86 : 495.23 = 207.46 : x
  2. Step 2: Convert to fraction form
    358.86/495.23 = 207.46/x
  3. Step 3: Cross multiply
    358.86x = 495.23 × 207.46
  4. Step 4: Simplify right side
    358.86x = 102,740.42
  5. Step 5: Solve for x
    x = 102,740.42/358.86
  6. Step 6: Final answer
    x = 286.30

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Why These Related Problems?

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