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Finding the Fourth Proportional to 259.49, 358.17 and 176.84

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Solution

The fourth proportional to 259.49, 358.17 and 176.84 is: 244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.49 : 358.17 = 176.84 : x
  2. Step 2: Convert to fraction form
    259.49/358.17 = 176.84/x
  3. Step 3: Cross multiply
    259.49x = 358.17 × 176.84
  4. Step 4: Simplify right side
    259.49x = 63,338.78
  5. Step 5: Solve for x
    x = 63,338.78/259.49
  6. Step 6: Final answer
    x = 244.09

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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.