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Finding the Fourth Proportional to 259.97, 358.71 and 165.47

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Solution

The fourth proportional to 259.97, 358.71 and 165.47 is: 228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.97 : 358.71 = 165.47 : x
  2. Step 2: Convert to fraction form
    259.97/358.71 = 165.47/x
  3. Step 3: Cross multiply
    259.97x = 358.71 × 165.47
  4. Step 4: Simplify right side
    259.97x = 59,355.74
  5. Step 5: Solve for x
    x = 59,355.74/259.97
  6. Step 6: Final answer
    x = 228.32

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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.