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Finding the Fourth Proportional to 259.38, 358.09 and 175.42

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Solution

The fourth proportional to 259.38, 358.09 and 175.42 is: 242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.38 : 358.09 = 175.42 : x
  2. Step 2: Convert to fraction form
    259.38/358.09 = 175.42/x
  3. Step 3: Cross multiply
    259.38x = 358.09 × 175.42
  4. Step 4: Simplify right side
    259.38x = 62,813.48
  5. Step 5: Solve for x
    x = 62,813.48/259.38
  6. Step 6: Final answer
    x = 242.17

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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.